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2 years ago

15

when jerry drives 100 miles on the highway his car uses 4 gallons of gasoline how much gasoline would his car use if he drive 27

5 miles on the highway

1 answer:

Elanso [62]2 years ago

7 0

Answer:

11

Step-by-step explanation: Two one hundreds would be 8 gallons and 75 is 3/4 of one hundred making that 3 gallons

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Answer:

$y=13(4)^x$

Step-by-step explanation:

We have the exponential function of the form:

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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:

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Take the cube root of both sides:

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Hence, our b value is 4.

Therefore, our entire equation is:

$y=13(4)^x$

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