9514 1404 393
Answer:
A. y = 0.45x +7
Step-by-step explanation:
When the y/x come out different, it means the relation is not a proportion. So, the "rate of change" need to be computed from ∆y/∆x, not y/x.
∆y is the difference between two y-values. If we use the first two columns of the table, we have ...
∆y = 6.2 -5.4 = 0.8
∆x = 3 - 1 = 2
Then the rate of change shown in the table is ∆y/∆x = 0.8/2 = 0.4.
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For the equations, the rate of change is the coefficient of x. Those are ...
0.45, -1/2, 0.2, 1/10
If we were to put these rates of change in order on a number line, that order would be ...
-1/2 < 1/10 < 0.2 < 0.4 < 0.45
A: y = 0.45x+7 has a greater rate of change than shown in the table.
