Question

The distance y (in centimeters) a spring is compressed by a force x (in kilograms) is given by

y = 0.065x.
Complete a table of values for
x = 20, 40, 60, 80, and 100
to determine the distance the spring is compressed for each of the specified forces.

Answer 1

(x, y) = {(20, 1.3), (40, 2.6), (60, 3.9), (80, 5.2), (100, 6.5)}

Graph C represents the table of values

Explanation:

To complete the table, substitute each value of x into the equation,
`y = 0.065x`, to find each corresponding y-value.

Thus:

✔️When x = 20:

`y = 0.065x`

`y = 0.065(20)`

`y = 1.3`

✔️When x = 40:

`y = 0.065x`

`y = 0.065(40)`

`y = 2.6`

✔️When x = 60:

`y = 0.065x`

`y = 0.065(60)`

`y = 3.9`

✔️When x = 80:

`y = 0.065x`

`y = 0.065(80)`

`y = 5.2`

✔️When x = 100:

`y = 0.065x`

`y = 0.065(100)`

`y = 6.5`

✔️The graph of that represents this table of values is graph C. See attachment.