Math I Mixed Review 3 ~ Use Desmos

• -5

• -1

• 1

• 5

Answer explanation

A system of equations is shown.

x – 2y = –5

2x + 4y = 14

What is the value of y in the solution to the system?

• -1

• 1

• 2

• 3

Answer explanation

Henry has a part-time job selling computers. He works 6.5 hours each day.

~The function p(x) = 65 + 25x models his daily earnings, where x is the

number of computers he sells during the day.

~Henry sells 3 to 10 computers per day.

Which interval contains all of the values in the range of the function?

• 3 ≤ p(x) ≤ 10

• 10 ≤ p(x) ≤ 185

• 75 ≤ p(x) ≤ 250

• 140 ≤ p(x) ≤ 315

Answer explanation

A town determined that the function

f(x) = 820(0.97)^x models the number of speeding tickets issued in the town x years after 2000.

Which statement is true about the number of speeding tickets issued each year?

• The number of tickets is decreasing by 3% each year.

• The number of tickets is decreasing by 97% each year.

• The number of tickets is increasing by 3% each year.

• The number of tickets is increasing by 97% each year.

Answer explanation

0.97 is the rate of change.

1-.97 is 0.03 or 3% decay or decrease.

If b < 1, you have decay or a decreasing rate.

If b > 1, you have growth or an increasing rate.

Jason researched the number of women and men enrolled in colleges in the United States.

• W(t) = 0.21t + 4.93 represents the number of women enrolled,

in millions.

• M(t) = 0.08t + 6.18 represents the number of men enrolled,

in millions.

• t represents the number of years after 1975.

Which expression represents how many more women than men (in millions) were enrolled in colleges in the United States in 2001?

• 0.39(2001) + 11.11

• 0.39(26) + 11.11

• 0.13(2001) – 1.25

• 0.13(26) – 1.25

Answer explanation

Which function represents a quantity growing exponentially?

• $y=2\left(0.5\right)^x$

• $y=0.5\left(2\right)^x$

• $y=2\left(0.5\right)^{2x}$

• $y=\left(\frac{1}{5}\right)^x$

Answer explanation

• E(n) = 25n + 200

• E(n) = 25n – 200

• E(n) = 50n + 200

• E(n) = 50n

Answer explanation

• $100

• $500

• $1,000

• $1,500

Answer explanation

A salesperson earns $350 per week, plus a 35% commission on each sale made.

How much would the salesperson earn if he sold $750 worth of merchandise in

one week?

• $262.50

• $612.50

• $872.50

• $1,100.00

Answer explanation

• a_n = 3 + 2^{n – 1}

• a_n = 3 + 2ⁿ

• a_n = 3(2)^{n – 1}

• a_n = 3(2)ⁿ

Answer explanation