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Write absolute value function to solve word problems

Victor has a goal of making $75 per week at his after-school job. Last month he was within $6.50 of his goal. What are the maximum and minimum amounts that Victor might have made last month?
Write absolute function to solve problem:

$6.4=|x-58.2|$

$6.4=|x-6|+9$

$6.5=|x-75|$

Find the equation if the absolute graph having vertex is at $(2,-3)$ and passing through the point . $(3,4)$

$y=|x+2|-3$

$y=7|x-2|+3$

$y=7|x-2|-3$

Amtrak s annual passenger revenue for the years 1980 2000 is modeled approximately by the formula $R=-40|x-11|+990$ where R is the annual revenue in millions of dollars and x is the number of years since January 1, 1980. In what years was the passenger revenue $790 million?

1986 and 1996

1946 and 1956

1976 and 1926

Members of the track team can run 400 m in an average time of 58.2 seconds. The fastest and slowest times varied from the average by 6.4 seconds. What were the maximum and minimum times for the track team?
Write absolute function to solve problem:

$2=4|x|+8$

$4=4|x|$

$6.4=|x-58.2|$

The mean distance of the earth from the sun is 93 million miles. The distance varies by 1.6 million miles. What are the maximum and minimum distances of the earth from the sun?
Write absolute function to solve problem:

$6=3/2|x+1|+2$

$3=|x+1|+2$

$1.6=|x-93|$

Find the equation if the absolute graph having vertex is at $(1,-1)$ and passing through the point $(3,5)$

$y=|x+1|-1$

$y=-3|x-2|+2$

$y=3|x-1|-1$

The average number of seeds in a package of cucumber seed is 25. The number of seeds in the package can vary by three. What are the maximum and minimum number of seeds that could be in a package?
Write absolute function to solve problem:

$|x-25|=3$

$23=|x|$

$2=2|x+1|$

Leona was in a golf tournament last week. All of her four rounds of gold were within 2 strokes of par. If par was 72, what are the maximum and minimum scores that Leona could have made in the golf tournament?
Write absolute function to solve problem:

$|x-72|=2$

$4=|x-3|+2$

$6=\frac{5}{2}|x+3|-2$

Find the equation if the absolute graph having vertex is at $(2,2)$ and passing through the point . $(4,-4)$

$y=|x-2|+2$

$y=-3|x-2|+2$

$y=-3|x+2|-2$

Find the equation if the absolute graph having vertex is at $(1,1)$ and passing through the point $(4,5).$ 2

$y=\frac{4}{3}|x+1|-1$

$y=|x-1|+1$

$y=\frac{4}{3}|x-1|+1$

Questions

Time

Score

Write absolute value function to solve word problems

Victor has a goal of making $75 per week at his after-school job. Last month he was within $6.50 of his goal. What are the maximum and minimum amounts that Victor might have made last month?Write absolute function to solve problem:

﻿6.4=∣x−58.2∣6.4=|x-58.2|6.4=∣x−58.2∣﻿

﻿6.4=∣x−6∣+96.4=|x-6|+96.4=∣x−6∣+9﻿

﻿6.5=∣x−75∣6.5=|x-75|6.5=∣x−75∣﻿

Find the equation if the absolute graph having vertex is at ﻿(2,−3)(2,-3)(2,−3)﻿ and passing through the point .﻿(3,4)(3,4)(3,4)﻿

﻿y=∣x+2∣−3y=|x+2|-3y=∣x+2∣−3﻿

﻿y=7∣x−2∣+3y=7|x-2|+3y=7∣x−2∣+3﻿

﻿y=7∣x−2∣−3y=7|x-2|-3y=7∣x−2∣−3﻿

1986 and 1996

﻿1946 and 1956

1976 and 1926

Members of the track team can run 400 m in an average time of 58.2 seconds. The fastest and slowest times varied from the average by 6.4 seconds. What were the maximum and minimum times for the track team?Write absolute function to solve problem:

﻿2=4∣x∣+82=4|x|+82=4∣x∣+8﻿

﻿4=4∣x∣4=4|x|4=4∣x∣﻿

﻿6.4=∣x−58.2∣6.4=|x-58.2|6.4=∣x−58.2∣﻿

The mean distance of the earth from the sun is 93 million miles. The distance varies by 1.6 million miles. What are the maximum and minimum distances of the earth from the sun?Write absolute function to solve problem:

﻿6=3/2∣x+1∣+26=3/2|x+1|+26=3/2∣x+1∣+2﻿

﻿3=∣x+1∣+23=|x+1|+23=∣x+1∣+2﻿

﻿1.6=∣x−93∣1.6=|x-93|1.6=∣x−93∣﻿

Find the equation if the absolute graph having vertex is at ﻿(1,−1)(1,-1)(1,−1)﻿ and passing through the point ﻿(3,5)(3,5)(3,5)﻿

﻿y=∣x+1∣−1y=|x+1|-1y=∣x+1∣−1﻿

﻿y=−3∣x−2∣+2y=-3|x-2|+2y=−3∣x−2∣+2﻿

﻿y=3∣x−1∣−1y=3|x-1|-1y=3∣x−1∣−1﻿

The average number of seeds in a package of cucumber seed is 25. The number of seeds in the package can vary by three. What are the maximum and minimum number of seeds that could be in a package?Write absolute function to solve problem:

﻿∣x−25∣=3|x-25|=3∣x−25∣=3﻿

﻿23=∣x∣23=|x|23=∣x∣﻿

﻿2=2∣x+1∣2=2|x+1|2=2∣x+1∣﻿

Leona was in a golf tournament last week. All of her four rounds of gold were within 2 strokes of par. If par was 72, what are the maximum and minimum scores that Leona could have made in the golf tournament?Write absolute function to solve problem:

﻿∣x−72∣=2|x-72|=2∣x−72∣=2﻿

﻿4=∣x−3∣+24=|x-3|+24=∣x−3∣+2﻿

﻿6=52∣x+3∣−26=\frac{5}{2}|x+3|-26=25​∣x+3∣−2﻿

Find the equation if the absolute graph having vertex is at ﻿(2,2)(2,2)(2,2)﻿ and passing through the point .﻿(4,−4)(4,-4)(4,−4)﻿

﻿y=∣x−2∣+2y=|x-2|+2y=∣x−2∣+2﻿

﻿y=−3∣x−2∣+2y=-3|x-2|+2y=−3∣x−2∣+2﻿

﻿y=−3∣x+2∣−2y=-3|x+2|-2y=−3∣x+2∣−2﻿

Find the equation if the absolute graph having vertex is at ﻿(1,1)(1,1)(1,1)﻿ and passing through the point ﻿(4,5).(4,5).(4,5).﻿ 2

﻿y=43∣x+1∣−1y=\frac{4}{3}|x+1|-1y=34​∣x+1∣−1﻿

﻿y=∣x−1∣+1y=|x-1|+1y=∣x−1∣+1﻿

﻿y=43∣x−1∣+1y=\frac{4}{3}|x-1|+1y=34​∣x−1∣+1﻿

Incorrect

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Victor has a goal of making $75 per week at his after-school job. Last month he was within $6.50 of his goal. What are the maximum and minimum amounts that Victor might have made last month?
Write absolute function to solve problem:

$6.4=|x-58.2|$

$6.4=|x-6|+9$

$6.5=|x-75|$

Find the equation if the absolute graph having vertex is at $(2,-3)$ and passing through the point . $(3,4)$

$y=|x+2|-3$

$y=7|x-2|+3$

$y=7|x-2|-3$

1946 and 1956

Members of the track team can run 400 m in an average time of 58.2 seconds. The fastest and slowest times varied from the average by 6.4 seconds. What were the maximum and minimum times for the track team?
Write absolute function to solve problem:

$2=4|x|+8$

$4=4|x|$

$6.4=|x-58.2|$

The mean distance of the earth from the sun is 93 million miles. The distance varies by 1.6 million miles. What are the maximum and minimum distances of the earth from the sun?
Write absolute function to solve problem:

$6=3/2|x+1|+2$

$3=|x+1|+2$

$1.6=|x-93|$

Find the equation if the absolute graph having vertex is at $(1,-1)$ and passing through the point $(3,5)$

$y=|x+1|-1$

$y=-3|x-2|+2$

$y=3|x-1|-1$

The average number of seeds in a package of cucumber seed is 25. The number of seeds in the package can vary by three. What are the maximum and minimum number of seeds that could be in a package?
Write absolute function to solve problem:

$|x-25|=3$

$23=|x|$

$2=2|x+1|$

Leona was in a golf tournament last week. All of her four rounds of gold were within 2 strokes of par. If par was 72, what are the maximum and minimum scores that Leona could have made in the golf tournament?
Write absolute function to solve problem:

$|x-72|=2$

$4=|x-3|+2$

$6=\frac{5}{2}|x+3|-2$

Find the equation if the absolute graph having vertex is at $(2,2)$ and passing through the point . $(4,-4)$

$y=|x-2|+2$

$y=-3|x-2|+2$

$y=-3|x+2|-2$

Find the equation if the absolute graph having vertex is at $(1,1)$ and passing through the point $(4,5).$ 2

$y=\frac{4}{3}|x+1|-1$

$y=|x-1|+1$

$y=\frac{4}{3}|x-1|+1$