Company ______ charges a higher rate per square foot of countertop. How do you know? b. Write a linear equation that represents the cost in dollars, y, as a function of the amount of countertop needed in square feet, x, for Company A. c. Write a linear equation that represents the cost in dollars, y, as a function of the amount of countertop needed in square feet, x, for Company B.
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
Mikayla needs to order a countertop for her project. Company A will sell Mikayla a countertop according to given graph, which includes a $1,000 installation fee. Company B will sell a countertop according to the values given in the table, which includes an $800 installation fee and a constant rate of change.
a. Company ______ charges a higher rate per square foot of countertop.
How do you know?
b. Write a linear equation that represents the cost in dollars, y, as a function of the amount of countertop needed in square feet, x, for Company A.
c. Write a linear equation that represents the cost in dollars, y, as a function of the amount of countertop needed in square feet, x, for Company B.
d. At what number of square feet of countertop would the cost from each company be the same?
e. To keep costs low, Mikayla should hire ______ for this project, which requires 26 square feet of countertop.
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