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Algebra / Linear equations in two variables Difficulty: Easy

$F equals, 2 point 5 0 x, plus 7 point 0 0 y$

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?

The price, in dollars, of one drink

The price, in dollars, of one salad

The number of drinks bought during the day

The number of salads bought during the day

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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.