Question

Use the graph to answer the question.

"Graph shows an exponential decay curve on a coordinate plane, passing through points negative 1, 10 and 1, 3.6."

Which equation is shown in the graph?

(1 point)
Responses

y=6⋅(3.6)x
y is equal to 6 times 3 point 6 to the x th power

y=6⋅(0.6)x
y is equal to 6 times 0 point 6 to the x th power

y=6⋅0.6x
y is equal to 6 times 0 point 6 x

y=10⋅(1.05)x
y is equal to 10 times 1 point 0 5 to the x th power

Answer 1

y = 6(0.6)^x

Reason: Let y = a·b^x. From (-1,10): 10 = a/b. From (1,3.6): 3.6 = a·b. Multiply: 10·3.6 = a^2 → a = 6. Then b = 3.6/6 = 0.6.