Question a-cert

1.1 Linear Functions - Rate of change applications
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A certain apprentice has enrolled in 85 hours of training courses. The equation 10 x + 15 y = 85 represents this situation, where x is the number of on-site training courses and y is the number of online training courses this apprentice has enrolled in. How many more hours does each online training course take than each on-site training course?

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A certain apprentice has enrolled in 85 hours of training courses. The equation 10 x +

Hard-difficulty · SAT Math · Linear Functions — Rate of change applications. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

The correct answer is 5 . It's given that the equation 10 x + 15 y = 85 represents the situation, where x is the number of on-site training courses, y is the number of online training courses, and 85 is the total number of hours of training courses the apprentice has enrolled in. Therefore, 10 x represents the number of hours the apprentice has enrolled in on-site training courses, and 15 y represents the number of hours the apprentice has enrolled in online training courses. Since x is the number of on-site training courses and y is the number of online training courses the apprentice has enrolled in, 10 is the number of hours each on-site course takes and 15 is the number of hours each online course takes. Subtracting these numbers gives 15-10, or 5 more hours each online training course takes than each on-site training course.