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Pre algebra, help me answer the questions A and b

Pre algebra, help me answer the questions A and b-example-1

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Variables h and c can be related by the equation of a line.

Let's define c (cost) as the dependent variable and h (hours) as the independent variable.

The slope of a line (m) that passes through the points (x1, y1) and (x2, y2) is computed as follows:


m=(y_2-y_1)/(x_2-x_1)

In this case, the line passes through the points (1, 187) and (2, 259), then its slope is:


m=(259-187)/(2-1)=72

In the context of this problem, the rate per hour coincides with the slope of the line, then:

rate per hour = 72 $/hour

The equation will have the form:

c = m*h + b

where b is the initial cost

Substituting with m = 72 and the point (1, 187) we get:

187 = 72*1 + b

187 - 72 = b

115 = b

initial cost = $115

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