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. 1.Company _charges a higher rate per square foot of countertop. How do you know?

2.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.

3.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.

4.At what number of square feet of countertop would the cost from each company be the same?

5.To keep costs low, Mikayla should hire ___for this project, which requires 26 square feet of countertop.

answer is c

step-by-step explanation:

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3

if gloria has "carry over" minutes, (that is, any minutes paid for but not used in a month can be applied to her payment for minutes in the next month,) her total usage for the three months is: total minutes = 320 + 243 + 489 = 1052 minutes number of 200 minute blocks = 1052/200 = 5 r52 (that is 5 with a remainder of 52) rounding up the number of 200 minute blocks gives her usage for the three months as 6 blocks. the cost for six blocks is 6 x $25 = $150 she also has 200 - 52 or 148 carry over minutes if gloria pays each month and unused minutes are lost, applying the rounding up procedure to each month gives: first month usage of 320 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 second month usage of 243 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 third month usage of 489 minutes rounds up to 3 blocks of 200 minutes for a payment of 3 x $25 = $75 total payments for the three months are $50 + $50 + $75 = $175 get the plan with carry over minutes!

8

step-by-step explanation: