Company B charges a higher rate ($20) per square foot while company A has a higher installation fee.
A linear function is in the form:
y = mx + b
Where m is the rate of change, b is the initial value of y.
Let y represent the total cost of installing x ft² of countertop.
Company A passes through (0, 1000) and (10, 1150), hence:
y - 1000 = [(1150 - 1000)/(10 - 0)](x - 0)
y = 15x + 1000
Company B passes through (10, 1000) and (20, 1200), hence:
y - 1000 = [(1200 - 1000)/(20 - 10)](x - 10)
y = 20x + 800
Company B charges a higher rate ($20) per square foot while company A has a higher installation fee.
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