20 POINTS An electrician charges a set fee for every house call and then charges an hourly rate depending on how long the job takes. The total cost of the electrician's services can be determined using the equation C=65+60t, where t is the number of hours the electrician spends at the house working. What is the slope of the equation and what is its interpretation in the context of the problem?

[tex]if \to C=65+60t \\ C=60t + 65 \\ but \: the \: \boxed{ c - intercept} \: is \: in \: the \: form \to \\ c = mt + b \\ hence \to \\ 60t = mt \\ m = \frac{60t}{t} \\ m = 60 \\ the \: slope \: is \to \boxed{60}[/tex]

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facundo3141592 facundo3141592 · Answer 2 · 2022-01-18T11:56:05+01:00

We want to analyze the given linear equation, we will find that the slope is 60, and it means that he charges 60 per hour.

Linear equations:

A general linear equation is written as:

y = a*x +b

Where a is the slope and b is the y-intercept.

In this case, we have the equation:

c(t) = 60*t + 65

Is easy to identify that the slope is equal to 60.

Given that we know that he charges per hour, and that t represents the number of hours that the electrician worked, we can assume that the slope represents how much the electrician charges per hour.

If you want to learn more about linear equations, you can read:

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