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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

Respuesta :

altavistard

Answer:

$96.25

Step-by-step 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

luisejr77

Answer: $ 96. 25

Step-by-step explanation:

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

[tex]z = kx[/tex]

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

[tex]x = 6[/tex]

[tex]z = \$\ 52.50[/tex]

[tex]52.50 = 6k[/tex]

[tex]k= \frac{52.50}{6}[/tex]

[tex]k= 8.75[/tex]

Then the equation is:

[tex]z = 8.75x[/tex]

Finally when x = 11, then:

[tex]z = 8.75*11\\\\z =\$\ 96.25[/tex]

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