Question

Report Issue Question text The cost of using light construction equipment is $1,100 for 3 hours or $1,700 for 5 hours. Which of the following functions could represent the cost, C(x), of using the equipment for x hours? Select one: A. C(x)=300x+200 B. C(x)=500x−800 C. C(x)=400x−100 D. C(x)=200x+700

Answer 1

Answer:

A.

Step-by-step explanation:

This is because you can plug in the two hourly costs into each of the answer choices to check if you are right. Since x stands for x amount of hours, you can plug in the hours you are given into each of the equations and replace C(x) with the cost ($).

A.) C(x)=300x+200

Plugging it in with the first equation, 1100=300(3)+200, that equals to 1100=900+200 and simplified makes 1100=1100.

Plugging in the second equation, 1700=300(5)+200, that equals to 1700=1500+200, making 1700=1700. Making both points fit with the equation. But let's check the other equations.

B.) C(x)=500x-800, using the first point, 1100=500(3)-800. 1100=1500-800, which simplifies to 1100=700. This is not true, thus B cannot be the right answer.

C.) C(x)=400x-100, to save time I'll skip to using the second point. 1700=400(5)-100, turning into 1700=2000-100, which is 1700=1900, and 1900 doesn't equal 1700, so C is wrong as well.

D.) C(x)=200x+700: 1100=200(3)+700, that makes 1100=600+700, which is 1100=1300. This makes D invalid as well.

Checking all the equations, we know that the answer is A.