Question

Complete the table and explain why the relationship is a proportional relationship

Answer 1

To explain the relation between time and pay and to complete the table.

Given that,

A cashier earns $8 per hour.

Let t be the time in hour worked by the cashier and p be the corresponding pay in dollar of cashier.

we get the relation as,

`t*8=p`

Using this formula, we complete the table,

a) Given that, t=4, to find p.

Substitute this in the equation we get,

`p=4*8`
`p=32`

we get, Pay=$ 32 when time= 4 h

b) Given that, p=40, to find t.

Substitute this in the equation we get,

`t*8=40`
`t=5`

we get, time= 5 hours, when Pay= $40.

c) Given that, p=40, to find t.

Substitute this in the equation we get,

`t*8=72`
`t=9`

we get, time= 9 hours, when Pay=$72 .