Jackson's car was making a rumbling noise for 2 weeks. He decided to take it to the mechanic to get it checked out. To diagnose the problem, the mechanic tells Jackson that he charges a flat, one-time fee of $60 and then $35 for each hour he spends trying to identify the problem. What is the slope in this scenario?

Respuesta :

Answer:

The slope is 35

Step-by-step explanation:

Given

[tex]One\ Time\ Fee = \$60[/tex]

[tex]Hourly\ Rate = \$35[/tex]

Required

Determine the slope

First, we need to determine the equation.

Let y represents the total charges and x represents the number of hours.

y is calculated using;

[tex]y = One\ Time\ Fee + Hourly\ Rate * x[/tex]

This gives:

[tex]y = 60 + 35* x[/tex]

[tex]y = 60 + 35x[/tex]

Reorder

[tex]y =35x + 60[/tex]

The general form of an equation is:

[tex]y =mx + b[/tex]

Where m represents the slope

By comparison of [tex]y =mx + b[/tex] and [tex]y =35x + 60[/tex]

[tex]m = 35[/tex]

Hence, the slope is 35

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