Question

The equation a=50h+50 represents the amount a that an air-conditioning repair company charges for h hours of labour. Make a table and sketch a graph of the equation

Analyzing categorical data
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asked 2021-02-25

The equation \(a=50h+50\) represents the amount a that an air-conditioning repair company charges for h hours of labour. Make a table and sketch a graph of the equation

Answers (1)

2021-02-26

To make a table, substitute different values of hh into \(a=50h+50\).

Since hh represents time, which can't be negative, only substitute values of hh such that

\(h\geq0h\geq0: h | 50h+50 | (h,a) 0 | 50(0)+50\)

\(=50 | (0,50) 1 | 50(1)+50\)

\(=100 | (1,100) 2 | 50(2)+50\)

\(=150 | (2,150) 3 | 50(3)+50\)

\(=200 | (3,200) 4 | 50(4)+50\)

\(=250 | (4,250) 5 | 50(5)+50\)

\(=300 | (5,300)\)

 Plot the points from your table and then draw a line passing through the points to sketch the graph of the equation. Then label the vertical axis as Total Charge ($) and the horizontal axis as Number of Hours:

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