Question

Please help me solve this?


Along with incomes, people's charitable contributions have steadily increased over the past few years. The table below shows the average deduction for charitable contributions reported on individual income tax returns for the period 1993 to 1998. Find the average annual increase between 1995 and 1997.

Table Chart: http://awesomescreenshot.com/0d132reaaa

A. $270 per year
B. $280 per year
C. $335 per year
D. $540 per year

At first I added up the three prices ($2470, $2850, and $3010), then I divided by 3 but that was incorrect.

Answer 1

So then I subtracted 3010 - 2850 = 160
and 2850 - 2470 = 380
then 380-160= 220
and that was incorrect as well.

How do I solve this problem?

Answer 2

average rate of change between \(a\) and \(b\) = \(\dfrac{f(b) - f(a)}{b-a}\)

Answer 3

you want to find the average rate of change between \(1995\) and \(1997\)

Answer 4

so look at the table :
whats the contribution for year \(1995\) ?
whats the contribution for year \(1997\) ?

Answer 5

2470 and 3010

Answer 6

subtract them

Answer 7

f(b) - f(a) = 3010 - 2470
= ?

Answer 8

540? e.e

Answer 9

divide by the difference \(b-a\)

Answer 10

b-a = 1997 - 1995
= ?

Answer 11

average rate of change between \(1995\) and \(1997\) = \(\dfrac{3010- 2470}{1997-1995}\)

= \(\dfrac{540}{2}\)

= \(270\)

Answer 12

Oooooh I didn't know the years were necessary for the equation

Answer 13

Thank you ♥

Answer 14

yw :)