Question

Please Help Me

Answer 1

The table shows the number of books donated to a library each month. The growth is exponential. Suppose the growth continues at the same rate.

Use the data table to make a prediction involving exponential growth or decay.

Predict the number books donated to the library in Month 8. Round to the nearest whole number.

Answer 2

I predict in month 8 there will be a 315 book donation

Answer 3

month #1
80
month #2
80+20=100
Month #3
100+25=125
month #4
125+30=155
month #5
155+35=185
month#6
185+40=225
month #7
225+45=315

Answer 4

@freemap

Answer 5

The general form of the exponential function is
\(f(x)=ab^x\)
From the given data, you can find a and b by substituting in the given data.
For month zero, there are 80 books, so
\(80=ab^0\)
But since \(b^0=1\) for any non-zero b, so we found a=80.
Proceed similarly for x=1 (first month) y=100, to find b.
Then you will have the completed exponential function.

Answer 6

great explanation @Kobe95

Answer 7

That's just what I predicted.

Answer 8

thanks @freemap

Answer 9

so 225+50=275

Answer 10

315+50=365 i mean sorry

Answer 11

Is that correct?

Answer 12

Please note that, according to the reasoning of @mathmate , I got \(477\)

Answer 13

I didn't see where @mathmate post oh wow sorry

Answer 14

@kobe95
The question states that the function is exponential.
If a function has a constant second difference (5), then it is quadratic.

Answer 15

@freemap please follow the notes of @mathmate , so you should get a function like this:
\[\Large y\left( x \right) = 80 \cdot {\left( {\frac{5}{4}} \right)^x}\]

Answer 16

having internet problems

Answer 17

I'm back my answer is 100