The graph of an exponential model in the form y = a ⋅ bx passes through the points (2, 50) and (3, 250). Which point is also on the graph?
A. (0, 5) B. (1, 10) C. (4, 450) D. (5, 650)

We choose B. (1, 10)

Step-by-step explanation:

Given the exponential model in the form y = a

<=> 50 = a  

<=> a = (1)

<=> 250 = a (2)

Substitute (1) into (2) we have:

250 =  

<=> 50b = 250

<=> b = 5

=> a = = 2

Hence, our exponential model is: y =2*

Let analyse all possible

A. (0, 5) we have: y =2*   ≠ 5 so it is wrong

B. (1, 10) we have: y = 2* so it is true

C. (4, 450) we have: y = 2* ≠ 450 so it is wrong

D. (5, 650)  we have: y = 2* ≠ 650 so it is wrong

Hence we choose B. (1, 10)

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