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?

Step-by-step 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%:

Total spending = 12 - 3.6 = $8.4 billion

For year = 2:

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

Find 30%:

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%:

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%:

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%:

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%:

Total spending = 2.02 - 0.60 = $1.42 billion

x-axis = no. of year

y-axis = Total spending

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

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116