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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?

1 Answer

Apr 12, 2017

$d = 6.35 h$ $d=6.35h$

$d_{35} = 222.25$ $d_(35)=222.25$

Explanation:

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

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

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

When $h = 35$ $h=35$
this would give us:
$XXX d_{(h = 35)} = 63.50 \times 35 = 222.25$ $color(white)("XXX")d_((h=35))=63.50 xx 35 = 222.25$

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