Select all the correct statements. The amount in dollars an electrician charges in terms of the number of hours worked is represented by the function y = 22x + 42. From the function, identify all the phrases that hold true for the situation.

Question

Penelope Smith

Mathematics

19 October, 23:57

Select all the correct statements. The amount in dollars an electrician charges in terms of the number of hours worked is represented by the function y = 22x + 42. From the function, identify all the phrases that hold true for the situation.

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Harley Griffin · Answer 1

The electrician charges an initial fee of $42", AND "The electrician charges $22 for every hour worked" is true.

The equation is y=22x+42. The formula is y=mx+b. m is the slope, or is this case, the number of dollars for every "x", which is the number of hours worked. So you have to pay $22 for every hour the electrician works. b is the y-intercept, or the amount it starts with, in this case, you have to pay a fee of $42 even when the electrician worked 0 hours. This is because $42 is the amount it starts with. On a graph, the line will start at (0,42) because that is when you start paying. And then it will increase by 22 for each hour, so the next coordinate would be (1,64).