contestada

Ashley earns $8.50 per hour at her job, but if she works more than 35 hours in a week she is paid 1½ times her regular wage for the overtime hours worked.
a.find a linear equation that relates her weekly pay y and the number of hours x she worked during the week if she worked no more than 35 hours.

Respuesta :

calculista

Let

x-------> the number of hours Ashley worked during the week

y------> Ashley's weekly pay

we know that

Ashley earns $8.50 per hour at her job and if she works more than 35 hours in a week she is paid 1½ times her regular wage for the overtime hours worked

so

case a) if she worked no more than 35 hours

[tex]x \leq35\ hours[/tex]

In this case the equation is equal to

[tex]y=8.50x[/tex]

case b) if she worked more than 35 hours

[tex]x>35\ hours[/tex]

in this case

[tex]\$8.5*1.5=\$12.75[/tex]

[tex]\$12.75-\$8.50=\$4.25[/tex]

the equation is equal to

[tex]y=(x-35)*4.25+8.50*x[/tex]

therefore

the answer part a) is

[tex]y=8.50x[/tex]

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