tmontefalcon2424
18.10.2020 •
Mathematics
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
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Ответ:
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 approximately7/5 = 1.4006/5 = 1.2005/4 = 1.250We 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.
Ответ:
the answer is the first one