Mikayla needs to order a countertop for her project. Company A will sell Mikayla a countertop according to the 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
A
charges a higher rate per square foot of countertop.
Question 2
How do you know?
Company A is higher because they jump up $150 every 10 square feet and installation is higher
Question 3
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. Type your answer in the box.
Question 4
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. Type your answer in the box.
Question 5
d. At what number of square feet of countertop would the cost from each company be the same?
Question 6
e. To keep costs low, Mikayla should hire
for this project, which requires 26 square feet of countertop.

If f(x)=x+7 and g(x)=1/x what is (fog)(x)

Write the equations in logarithmic form 7^3=343

Atrain traveled for 1.5 hours to the first station, stopped for 30 minutes, then traveled for 4 hours to the final station where it stopped for 1 hour. the total distance traveled is a function of time. which graph most accurately represents this scenario? a graph is shown with the x-axis labeled time (in hours) and the y-axis labeled total distance (in miles). the line begins at the origin and moves upward for 1.5 hours. the line then continues upward at a slow rate until 2 hours. from 2 to 6 hours, the line continues quickly upward. from 6 to 7 hours, it moves downward until it touches the x-axis a graph is shown with the axis labeled time (in hours) and the y axis labeled total distance (in miles). a line is shown beginning at the origin. the line moves upward until 1.5 hours, then is a horizontal line until 2 hours. the line moves quickly upward again until 6 hours, and then is horizontal until 7 hours a graph is shown with the axis labeled time (in hours) and the y-axis labeled total distance (in miles). the line begins at the y-axis where y equals 125. it is horizontal until 1.5 hours, then moves downward until 2 hours where it touches the x-axis. the line moves upward until 6 hours and then moves downward until 7 hours where it touches the x-axis a graph is shown with the axis labeled time (in hours) and the y-axis labeled total distance (in miles). the line begins at y equals 125 and is horizontal for 1.5 hours. the line moves downward until 2 hours, then back up until 5.5 hours. the line is horizontal from 5.5 to 7 hours