Question

The table below shows the amount that must be repaid,y, when x dollars are borrowed.

Answer 1

y=5/4x+10 represents the equation.

Answer 2

Option C.

Explanation:

We can solve this question by plugging in the values of x and y in the given equations of the options.

A). y =
`(5)/(4)x`

Now we plug in the value of x = 100 and y = 135

135 =
`(5)/(4)* 100`

135 = 125

Which is not possible so this equation is not the answer.

B). y =
`(4)/(5)x`

We plug in the value of x = 100 and y = 135

135 =
`(4)/(5)* 100`

135 = 80

Again not possible. So this equation is not the required answer.

C). y =
`(5)/(4)x+10`

For x = 100 and y = 135

135 =
`(5)/(4)* 100+10`

135 = 125 + 10

135 = 135

For x = 200 and y = 260

260 =
`(5)/(4)* 200+10`

260 = 250 + 10

260 = 260

Therefore, the given table satisfies this equation for all values of x and y given in the table.

Option C. is the answer.

D). y =
`(4)/(5)x+55`

For x = 100 and y = 135

135 =
`(4)/(5)* 100+55`

135 = 80 + 55

135 = 135

Now for x = 200 and y = 260

260 =
`(4)/(5)* 200+55`

260 = 160 + 55

260 = 215

Which is not possible therefore option D is not the answer.