Question in-the

1.3 Linear Equations in Two Variables - Intercepts and slope applications
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F equals, 2 point 5 0 x, plus 7 point 0 0 y

In the equation above, F represents the total amount of money, in dollars, a food truck charges for x drinks and y salads. The price, in dollars, of each drink is the same, and the price, in dollars, of each salad is the same. Which of the following is the best interpretation for the number 7.00 in this context?

A.

The price, in dollars, of one drink

B.

The price, in dollars, of one salad

C.

The number of drinks bought during the day

D.

The number of salads bought during the day

In the equation above, F represents the total amount of money, in dollars, a food truck

Medium-difficulty · SAT Math · Linear Equations in Two Variables — Intercepts and slope applications. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

Choice B is correct. It’s given that 2 point 5 0 x, plus 7 point 0 0 y is equal to the total amount of money, in dollars, a food truck charges for x drinks and y salads. Since each salad has the same price, it follows that the total charge for y salads is 7 point 0 0 y dollars. When y equals 1, the value of the expression 7 point 0 0 y is 7 point 0 0 times 1, or 7.00. Therefore, the price for one salad is 7.00 dollars.

Choice A is incorrect. Since each drink has the same price, it follows that the total charge for x drinks is 2 point 5 0 x dollars. Therefore, the price, in dollars, for one drink is 2.50, not 7.00. Choices C and D are incorrect. In the given equation, F represents the total charge, in dollars, when x drinks and y salads are bought at the food truck. No information is provided about the number of drinks or the number of salads that are bought during the day. Therefore, 7.00 doesn’t represent either of these quantities.