Question

Paula’s paycheck varies directly with the number of hours she works. If she earns $52.50 for 6h of work, how much will she earn for 11 h of work? Round your answer to the nearest cent

Answer 1

$96.25

Explanation:

Find the unit rate of pay:

$52.50

------------- = $8.75/hr

6 hours

Now multiply this rate by 11 hours:

($8.75/hr)(11 hrs) = $96.25

Answer 2

Answer: $ 96. 25

Explanation:

It is said that two variables x and z vary directly if they meet the following relationship:

`z = kx`

Where k is the constant of variation.

In this case z represents the gains and x represents the hours of work.

Now we must find the value of the constant k.

We know that for 6 hours of work the earnings are $ 52.50

So

`x = 6`

`z = \$\ 52.50`

`52.50 = 6k`

`k= (52.50)/(6)`

`k= 8.75`

Then the equation is:

`z = 8.75x`

Finally when x = 11, then:

`z = 8.75*11\\\\z =\$\ 96.25`