FroYo Express charges $5.75 for a large cup of frozen yogurt and $0.25 for each topping. The Big Chill charges $2.75 for a large cup of frozen yogurt and $1.25 for each topping. The graph represents the relationship between the number of toppings, x, and the total cost of a large cup of frozen yogurt, y, at the two stores.
For what total cost are the number of toppings the same at both stores?

3 toppings for a total of $6.50

Step-by-step explanation:

Based on the information provided we can calculate the cost of a yogurt using the following equations for both Froyo Express (F) and The Big Chill (B) , where the variable x represents the number of toppings...

F = 5.75 + 0.25x

B = 2.75 + 1.25x

Now that we have both equations we can simply make one equal to the other and solve for x in order to calculate at what number of toppings the prices will be the same...

5.75 + 0.25x = 2.75 + 1.25x  ... subtract 2.75 and 0.25x on both sides

3 = 1x ... divide both sides by 1

3 = x

Finally, we can see that at 3 toppings the total cost of both stores will be the same at $6.50

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step-by-step explanation:

x is the total time in minutes for the free response

you are given number of questions as 15 - m and time per item as 8 minutes

to find x multiply the two givens together:

x = 8 * (15-m) = 8(15-m)