On a two week job a repairman works a total of 70 hours. He charges 75$ plus 40$ per hour. An equation shows this relationship where x is the total number of hours and y is the fee. What number is the slope of the line shown by the equation?

Question

Mathematics

Henson

9 November, 05:37

On a two week job a repairman works a total of 70 hours. He charges 75$ plus 40$ per hour. An equation shows this relationship where x is the total number of hours and y is the fee. What number is the slope of the line shown by the equation?

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Answers (1)

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Matias Huffman · Answer 1

Slope = 40

Step-by-step explanation:

Time spent = 70 hours (given)

Fixed charge = $75 (given)

x = Total number of hours (given)

Variable charge = $40 * Total number of hours.

Variable charge = $40x

Fee charged, y = Variable charge + Fixed charge

y = 40x + 75 ($)

The equation of a straight line is given as: y = mx + c

where m = slope

Comparing it with the equation above, m = 40