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.