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zlopas [31]
3 years ago
7

20 POINTS AND BRAINLIEST!! Write an exponential function in the form y=ab^x

Mathematics
1 answer:
Rudik [331]3 years ago
3 0

Answer:

y=13(4)^x

Step-by-step explanation:

We have the exponential function of the form:

y=ab^x

And it goes through the points (0, 13) and (3, 832).

Hence, when we substitute in 0 for x, we should get 13 for y. Therefore:

13=ab^0

Since anything to the zeroth power is 1, this yields:

a=13

So, we determined that the value of a is 13.

So, our function is now:

y=13b^x

We will need to determine b. We know that y equals 832 when x is 3. Hence:

832=13(b)^3

Divide both sides by 13:

b^3=64

Take the cube root of both sides:

b=4

Hence, our b value is 4.

Therefore, our entire equation is:

y=13(4)^x

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If both Pamela and Debbie can shelf the same number of books at the end, the smallest number of books each could have shelved is 182

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