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Suppose your company makes light bulbs and you want to determine the average cost of making light bulbs. Which will be the rational function of this ?
c(x)=cxxc\left(x\right)=\frac{cx}{x}c(x)=xcx
c(x)=(fixed cost )+cxxc\left(x\right)=\frac{\left(fixed\ \cos t\ \right)+cx}{x}c(x)=x(fixed cost )+cx
c(x)=cxc\left(x\right)=cxc(x)=cx
Jason's car uses 20 gallons of gas to travel 400 miles. If Jason currently has 7 gallons of gas in his car, how much gas is needed to travel 200 miles? The rational function of this problem will be
20 miles7 gallons\frac{20\ \ miles}{7\ gallons}7 gallons20 miles
20 milesx gallons\frac{20\ miles}{x\ gallons}x gallons20 miles
2 milesx+7 gallons\frac{2\ miles}{x+7\ gallons}x+7 gallons2 miles
Who invented word problem in Mathematics ?
Max Dehn
Aryabhata
Bhaskara
The concentration C (in mg/dl), of a certain antibiotic in a patient's bloodstream is given by _____________where t is the time (in hours) after taking the antibiotic .
C(inmg/dl)=50tt2+25C(inmg/dl)=\frac{50t}{t^2+25}C(inmg/dl)=t2+2550t
C(inmg/dl)=50t25C(inmg/dl)=\frac{50t}{25}C(inmg/dl)=2550t
C(inmg/dl)=525C(inmg/dl)=\frac{5}{25}C(inmg/dl)=255
You earn 65% on the first test of the quarter how many consecutive 100% test scores do you need to bring your test average up to a 95%?
f(x)=65+100xx+1f\left(x\right)=\frac{65+100x}{x+1}f(x)=x+165+100x
f(x)=100xx+1f\left(x\right)=\frac{100x}{x+1}f(x)=x+1100x
f(x)=65x+1f\left(x\right)=\frac{65}{x+1}f(x)=x+165
A rare species of insect was discovered in the rain forest of Costa Rica. Environmentalists transplant the insect into a protected area. The population of the insect t months after being transplanted is :
p(t)=45(1+0.6t)(3+0.02t)p\left(t\right)=\frac{45\left(1+0.6t\right)}{\left(3+0.02t\right)}p(t)=(3+0.02t)45(1+0.6t)
p(t)=45(1+0.6t)(3+0.02)p\left(t\right)=\frac{45\left(1+0.6t\right)}{\left(3+0.02\right)}p(t)=(3+0.02)45(1+0.6t)
p(t)=4(3+0.02)p\left(t\right)=\frac{4}{\left(3+0.02\right)}p(t)=(3+0.02)4
Complete:
The concentration of a drug in patient bloodstream t hours after the drug was administered. Construct a table of values for c(t) , t= 1,2,5…10. The rational function of this problem can be written as ___________.
c(t)=100000xc\left(t\right)=\frac{100000}{x}c(t)=x100000
c(t)=5tt2+1c\left(t\right)=\frac{5t}{t^2+1}c(t)=t2+15t
c(t)=5tt2c\left(t\right)=\frac{5t}{t^2}c(t)=t25t
You and your friends are sponsoring a dinner. The cost of catering the dinner is 9.95 dollar per person plus on 18 dollar delivery charge. Write the moddle that gives the average cost per person. The rational function will be ___________.
f(c)=(9.95P+18)pf\left(c\right)=\frac{(9.95P+18)}{p}f(c)=p(9.95P+18)
f(c)=(9.5P+8)pf(c)=\frac{\left(9.5P+8\right)}{p}f(c)=p(9.5P+8)
f(c)=(9.95P + 0)pf(c)=\frac{\left(9.95P\ +\ 0\right)}{p}f(c)=p(9.95P + 0)
A boat goes 240 miles downstream in the some time it can go 160 miles upstream the speed of the current is 5 miles per hour . what is the speed of the boat in still water ?
rf(t)=drf(t)=drf(t)=d
f(t)=drf\left(t\right)=\frac{d}{r}f(t)=rd
f(t)=rf(t)=rf(t)=r
An object is to travel a distance of 10 meters. Express velocity V(t) of travel time t in seconds. The rational function from this problem is __________.
v(t)=100000xv\left(t\right)=\frac{100000}{x}v(t)=x100000
v(t)=xv\left(t\right)=xv(t)=x
v(t)=100xv\left(t\right)=\frac{100}{x}v(t)=x100
It is done.