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.







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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 equation you mentioned — could you either upload the image or type the equation shown? With that I’ll pick the two correct statements.

If you want to check them yourself, here’s how:

- For each shop the price per cup is the slope of its cost line (rise over run on the graph, or the coefficient of x in the equation). Compare the slopes:
- If slopes are equal, the price per cup is the same.
- The shop with the larger slope has the more expensive coffee (higher price per cup).

- A vertical intercept (y‑intercept) is any fixed fee added before buying cups. That doesn’t change “price per cup” but does change total cost comparisons at particular x.

- To check statement “For 8 cups … $20” plug x = 8 into both cost equations (or read the y value at x = 8 from the graph) and see if both equal 20.

- To check the “For 10 cups … $2.50 more” statement, compute total cost for x = 10 at each shop and subtract to see if the difference is $2.50.

Send the graph or the explicit equations and I’ll identify the two correct statements.