Question

Use the table shown in the image! 1. Which equation expresses “y” in terms of “x”? A. y=17x B. y=25x C. x=51y D. x=85y 2. What is the charge for renting a machine for 3.5 hours? A. $51.50 B. $59.50 C. $65.50 D. $86.50

Please include all work!

Answer 1

2. $59.50 I think im not sure

Answer 2

Answer: 1. A. y=17x

2. $59.50

Explanation:

1. In the table , it can be seen that as x increases y increases with the proportionality constant k =
`(y)/(x)=(51)/(3)=(85)/(5)=(119)/(7)=17`,.

Equation of direct variation between x and y :
`y=kx`

Put k= 17 , we get

`y=17x` , which is the required equation.

So correct option is "A".

2. To find : The charge for renting a machine for 3.5 hours.

Put x= 3.5 in above equation , we get

`y=17(3.5)=59.5`

Hence, the charge for renting a machine for 3.5 hours is $59.50.

So correct option is "B".