Jason has a bicycle repair shop. His brother Chad works for him and is paid $100 a day,
plus 10% of p , the profit for one day. Jason's daily income is 90% of each day's profit.
The inequality below shows which values of p
will result in Jason earning more money
than Chad during one day.

Respuesta :

Answer:

[tex]\frac{8timesp}{10}[/tex]

Step-by-step explanation:

Chad gets per day for working in Jason's shop = [tex]\frac{p}{10} + $100[/tex].

Jason's daily earning is = [tex]\frac{9timesp}{10} - $100[/tex].

Jason earns [tex]\frac{9timesp}{100} - 100 - \frac{p}{10} + 100[/tex] = [tex]\frac{8timesp}{10}[/tex] more money than Chad.

The inequality that shows the values of p that will result in Jason earning more money than Chad during one day is p> 125

The given parameters are:

Base amount = $100

Additional pay = 10% of profit

The expression that represents Chad's earnings is:

C = 100 + 10% * p

This gives

C = 100 + 0.1p

The expression that represents Jason's earnings is:

J = 90% * p

This gives

J = 0.9p

So, the inequality is:

0.9p > 100 + 0.1p

Collect like terms

0.9p -  0.1p> 100

Evaluate the differences

0.8p> 100

Divide both sides by 0.8

p> 125

Hence, the inequality is: p> 125

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