Algebra Unit 4 Midunit

Which equation represents the function?

The equation m = 40g gives the distance in miles, m, that a car can travel using g gallons of gas. Which equation represents the inverse function: the gallons of gas as a function of the distance in miles?

The cost of holding a children's birthday party at a rollerskating rink is a function of n, the number of people in the party. The cost function, C, can be represented with this set of rules.

How much does it cost to have a party with 15 people?

• $150

• $260

• $400

Function c is defined by the equation c(n) = 50 + 4n. It gives the monthly cost, in dollars, of visiting a gym as a function of the number of visits, n. Find the inverse function.

Function c is defined by the equation c(n) = 50 + 4n. It gives the monthly cost, in dollars, of visiting a gym as a function of the number of visits, n. Find the value of c(8) and explain what it means in this situation.

• $54; it means that 8 visits cost $54.

• $75; it means that 8 visits will cost $75.

• 8 visits will cost $62.

• 8 visits will cost $82.

(5x+2)(x²-3x+6)

• 5x³ - 17x² +24x +12

• 5x³ + 17x² - 24x +12

• 5x³ - 13x² + 24x +12

• 5x³ +13x² - 24x - 12

Simplify:
2x ( -2x -3)

• -4x - 3

• x² - 3

• -4x² - 6x

• -4x - 6

(2x - 1)(x + 2)

• 2x² + 3x - 2

• 2x² - 5x - 2

• 2x² + 3x + 2

• 2x² - 5x + 2

5x² + 20

• 5(x + 4)

• 5x(x + 4)

• 5(x² + 4)

• 5x²(x + 4)

15x⁴ + 20x³ - 25x

• 5x²(3x² + 4x - 5)

• 5x(3x³ + 4x² - 5x)

• 5x(3x³ + 4x² - 5)

• 5(3x⁴ + 4x³ - 5x)