Find the equation of the exponential function represented by the table below
1 answer:
Answer:
Step-by-step explanation:
Exponential functions are represented in the form , where a is the initial value and b is the multiplier.
Here, we see that when x = 0, y = 4. This means that 4 is our initial value, or a. You can look at the a variable almost being like the y-intercept of a graph.
Next, we must solve for b. We can do 16 ÷ 4 to find the slope, or multiplier of this function, because 16 is 1 input x-value up from 0. 16 ÷ 4 = 4.
So, we now have all the needed variables, so we plug them into the formula
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Answer: For Ryan to get an average of exactly 91, she needs to get a 90 on her fifth quiz.
Step-by-step explanation:
You can find the average of a set of numbers by adding them together and dividing the sum by the amount of numbers added.
Ryan has five total quizzes. Only four of them are known, so we can represent her fifth quiz as X.
, dividing the five quizzes' sum by 5
She wants the average to be exactly 91, so you can set the expression equal to 91 and solve:
For Ryan to get an average of exactly 91, she needs to get a 90 on her fifth quiz.