Y= aˣ . This is the exponential function:
If x = 2, then y = 36
36 = a² → a = 6
Then the equation becomes: y = 6ˣ
First we find out what percent the sale price is of the original price.
0.15 / 0.75 x 100 = 20%
Then we subtract this from 100% to get the discount:
100 - 20 = 80% discount
Let's start by seeing what percentage is incorrect.
100-85=15
So, 15% is incorrect when answering 3 problems wrong. So let's divide 15 by 3.
15÷3=5
So, each problem is worth 5%, let's divide 100 by 5. The reason I'm doing thiis is to find how many questions are on the quiz, since if you got them all right, it's 100.
100÷5
20
There are 20 questions, let's make sure this is correct.
If she got 3 wrong, she got 17 right. Let's calculate her percentage and make sure it is the right one.
17÷20
.85×100
85%
So, there are 20 questions on the math quiz.
Answer:

Step-by-step explanation:
we are given a exponential function

where x represents the number and f(x) represents the amount
we are also given that when x is 3 then f(x) is 59 likewise when x is 6 then f(x) is 2165
to figure out the average rate of change between 3 and 6 we can consider the average rate of change formula given by

substitute what we have:

simplify substitution:

simplify division:

hence, the average rate of change between 3 and 6 is <u>7</u><u>0</u><u>2</u>