Question

The total cost of purchasing x cups of coffee at each of two competing coffee shops is represented by the graph and by the equation shown below.







image.png



Which statements accurately compare costs for the two coffee shops? Choose the TWO correct responses.


The price of a cup of coffee at each shop is the same.


Coffee Shop A has the most expensive coffee.


For 8 cups of coffee sold, the total cost at either coffee shop is $20.


Coffee Shop B has the most expensive coffee.


For 10 cups of coffee sold, the total cost at Coffee Shop A is $2.50 more than the total cost at Coffee Shop B.

Answer 1

I can’t see the graph or the equation image you referenced. Please re-upload the image or type the equation and a brief description of the two lines (for example: the y‑intercept and one other point on each line, or the slope and intercept).

To help you check the five statements yourself, here are the steps to follow once you have the graph and equation:

1. Identify each shop’s linear cost function in the form y = mx + b.
- The slope m = cost per cup.
- The y‑intercept b = fixed start/fee (cost when x = 0).

2. “The price of a cup of coffee at each shop is the same.”
- True exactly when the two lines have the same slope (m values).

3. “Coffee Shop A/B has the most expensive coffee.”
- Compare slopes: larger slope = more expensive per cup.

4. “For 8 cups of coffee sold, the total cost at either coffee shop is $20.”
- Plug x = 8 into each equation; if both give 20, the statement is true.

5. “For 10 cups of coffee sold, the total cost at Coffee Shop A is $2.50 more than the total cost at Coffee Shop B.”
- Compute yA(10) − yB(10). If the difference equals 2.50, the statement is true.

If you send the image or the two equations (or enough points from the graph to get each line), I’ll compute and tell you exactly which two statements are correct.