Question

Suppose you earn $127 for working 20 hours, write a direct variation equation relating your earnings to the number of hours worked and calculate how much you would earn for working 35 hours?

Answer 1

`d=6.35h`

`d_(35)=222.25`

Explanation:

Let `d` be your earnings (in dollars)
and `h` be the number of hours you worked.

We are told that for `d=127`, `h=20`
giving an hour rate of pay, `r`:
`color(white)("XXX")r=d/h=127/20=63.50`

One possible form for the direct variation would be:
`color(white)("XXX")d/h=63.50`
but often we might prefer to write this as the equivalent:
`color(white)("XXX")d=63.50 xx h`

When `h=35`
this would give us:
`color(white)("XXX")d_((h=35))=63.50 xx 35 = 222.25`