Question a-food

1.3 Linear Equations in Two Variables - Writing equations from data/points
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A food truck buys forks for $0.04 each and plates for $0.48 each. The total cost of x forks and y plates is $661.76. Which equation represents this situation?

A.

0.48x-0.04y=661.76

B.

0.04x-0.48y=661.76

C.

0.48x+0.04y=661.76

D.

0.04x+0.48y=661.76

A food truck buys forks for $ 0.04 each and plates for $ 0.48 each. The

Medium-difficulty · SAT Math · Linear Equations in Two Variables — Writing equations from data/points. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

Choice D is correct. It’s given that the food truck buys forks for $0.04 each. Therefore, the cost, in dollars, of x forks can be represented by the expression 0.04 x . It’s also given that the food truck buys plates for $0.48 each. Therefore, the cost, in dollars, of y plates can be represented by the expression 0.48 y . Since the total cost of x forks and y plates is $661.76, the equation 0.04 x + 0.48 y = 661.76 represents this situation.

Choice A is incorrect and may result from conceptual or calculation errors.

Choice B is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect. This equation represents a situation in which the food truck buys forks for $0.48 each and plates for $0.04 each.