Question

A country commits to decreasing spending for infrastructure in various ways at a rate of 30% per year. At the time of the

announcement, the country is spending $12 billion per year. Which graph models the amount of infrastructure spending
for future years?

Answer 1

Answer: D

Explanation:

I got the answer right on Edge

Answer 2

Explanation:

As the options are not given in the question, lets find the amount spend in next 6 years and make a graph of it. I hope it helps

For year = 0:

Total spending = $12 billion

For year = 1:

Total spending is decreased by 30% as compared to year = 0

Find 30%:

`(30)/(100)\cdot12=3.6`

Total spending = 12 - 3.6 = $8.4 billion

For year = 2:

Total spending is decreased by 30% as compared to year = 1

Find 30%:

`(30)/(100)\cdot8.4=2.5`

Total spending = 8.4 - 2.5 = $5.9 billion

For year = 3:

Total spending is decreased by 30% as compared to year = 2

Find 30%:

`(30)/(100)\cdot5.9=1.77`

Total spending = 5.9 - 1.77 = $4.13 billion

For year = 4:

Total spending is decreased by 30% as compared to year = 3

Find 30%:

`(30)/(100)\cdot4.13=1.24`

Total spending = 4.13 - 1.24 = $2.89 billion

For year = 5:

Total spending is decreased by 30% as compared to year = 4

Find 30%:

`(30)/(100)\cdot2.89=0.87`

Total spending = 2.89 - 0.87 = $2.02 billion

For year = 6:

Total spending is decreased by 30% as compared to year = 5

Find 30%:

`(30)/(100)\cdot2.02= 0.6`

Total spending = 2.02 - 0.60 = $1.42 billion

Graph:

x-axis = no. of year

y-axis = Total spending

Join the point to get the desired graph (see the picture)