Algebra Regents August 2015 #7 - 12

The country of Benin in West Africa has a population of 9.05 million people. The population is growing at a rate of 3.1% each year. Which function can be used to find the population 7 years from now?

• f(t) = (9.05 x 10⁶)(1 - 0.31)⁷

• f(t) = (9.05 x 10⁶)(1 + 0.31)⁷

• f(t) = (9.05 x 10⁶)(1 - 0.031)⁷

• f(t) = (9.05 x 10⁶)(1 + 0.031)⁷

A typical cell phone plan has a fixed base fee that includes a certain amount of data and an overage charge for data use beyond the plan. A cell phone plan charges a base fee of $62 and an overage charge of $30 per gigabyte of data that exceed 2 gigabytes. If C represents the cost and g represents the total number of gigabytes of data, which equation could represent this plan when more than 2 gigabytes are used?

• C = 30 + 62(2 - g)

• C = 30 + 62(g - 2)

• C = 62 + 30(2 - g)

• C = 62 + 30(g - 2)

Four expressions are shown below.

I. 2(2x² - 2x - 60)

II. 4(x² - x - 30)

III. 4(x + 6)(x - 5)

IV. 4x(x - 1) - 120

The expression 4x² - 4x - 120 is equivalent to

• I and II, only

• II and IV, only

• I, II, and IV

• II, III, and IV

Last week, a candle store received $355.60 for selling 20 candles. Small candles sell for $10.98 and large candles sell for $27.98. How many large candles did the store sell?

• 6

• 8

• 10

• 12

Which representations are functions?

• I and II

• II and IV

• III, only

• IV, only

• 1

• -2

• -1