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Problem

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15 Nov 2021

Given information

Given that, a specialty cleaning company charges an equipment fee and an hourly labor fee. A linear equation that expresses the total amount of the fee the company charges for each session is y = 50 + 100x.

We have to find the y-intercept and the slope. And we have to interpret them using complete sentences.

Step-by-step explanation

Step 1.

The standard form of the linear equation is given by, y = a + bx where a is the y-intercept and b is the slope.

And it is given that a linear equation that expresses the total amount of the fee the company charges for each session is y = 50 + 100x.

The y-intercept is 50 (a = 50). At the start of the cleaning, the company charges a one-time fee of $50 (this is when x = 0).

and the slope is 100 (b = 100). For each session, the company charges $100 for each hour they clean (this is when y = 0).

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