Mikayla needs to order a countertop for her project. Company \mathrm{a}a will sell mikayla a countertop according to the given graph, which includes a \$ 1,000$1,000 installation fee. Company \mathrm{b}b will sell a countertop according to the values given in the table, which includes an \$ 800$800 installation fee and a constant rate of change

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Company B charges a higher rate ($20) per square foot while company A has a higher installation fee.

What is a linear function?

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.

Find out more on linear function at: https://brainly.com/question/15602982

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