Question

Use the table to answer the question.
Which exponential equation contains the points shown in the input-output table?
Points for an Exponential Equation
x y
−2 0.32
1 0.625
(1 point)
Responses

y=0.05⋅−(1.25)x
y is equal to 0 point 0 5 times negative 1 point 2 5 to the x th power

y=0.5⋅(1.25)x
y is equal to 0 point 5 times 1 point 2 5 to the x th power

y=(0.625)x
y is equal to 0 point 6 2 5 to the x th power

y=−0.5⋅(1.25)x
y is equal to negative 0 point 5 times 1 point 2 5 to the x th power

Answer 1

y = 0.5·(1.25)^x

Reason: from a·b^(−2)=0.32 and a·b^1=0.625, divide to get b^3 = 0.625/0.32 = 125/64 = (1.25)^3, so b = 1.25. Then a = 0.625/1.25 = 0.5.