Question

Considering only functions that have a rate of change less than that represented in the graph, which function has the greatest rate of change?

A. y = 7/6x + 2/3

B. y = 7/5x + 7/5

C. y = 6/5x + 11/5

D. y = 5/4x + 15/4

Answer 1

The correct answer is B!!

Answer 2

Answer: B. y = (7/5)x+7/5

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Step-by-step explanation:

Slope is the same as the rate of change for any linear function. We ignore the y intercepts.

The slopes of the four equations, A through D, are: 7/6, 7/5, 6/5, and 5/4

This is because each equation is in y = mx+b form with m as the slope.

Convert each fractional slope into decimal form

• 7/6 = 1.167 approximately
• 7/5 = 1.400
• 6/5 = 1.200
• 5/4 = 1.250

We see that 7/5 produces the largest decimal, so 7/5 is the largest fraction of the four slopes.

Therefore equation y = (7/5)x+7/5 has the greatest rate of change.