Algebra Chapter 12

A holiday meal costs $12.50 a person plus a delivery fee of $30. Which equation represents the amount a holiday meal costs, including delivery, for x people?

• y = 12.5x + 30

• y = 12.5 + 30

• y = 30x + 12.5

Sonya has $40 in her lunch account and pays $2 each day to eat lunch. Which equation can be used to find the amount of money Sonya has left on her account after x days?

• y = 2x + 40

• y = −2x + 40

• y = 40x + 2

• y = −40x + 2

Does this graph in the back have maximum or minimum value?

• maximum

• minimum

• neither

• both

If given the equation:

y = 3(x + 5)² − 4

What is the vertex of the parabola?

• (5, −4)

• (−5, −4)

• (−15, −4)

• (15, −4)

What is the range of this function?

• y = all real numbers

• y > −2

• y < −2

• y ≥ −2

• y ≤ −2

Which equation best represents the graph?

• y = 2(x − 4)² + 5

• y = 2(x + 4)² + 5

• y = −2(x − 4)² + 5

• y = −2(x + 4)² + 5

Identify the vertex and whether the graph opens up or down.

• (−1, 4); opens up

• (−1, 4); opens down

• (1, 4); opens up

• (1, 4); opens down

If y varies directly as x, and y is 16 when x is 32, which equation represents this situation?

• y = 32x

• y = 16x

• y = 2x

• y = ½x

Trina's paycheck earnings varies directly as the number of hours she works. If she works 19 hours and earns $187.15, what should she earn if she worked 40 hours?

• $394

• $440

• $472.80

• $512.20

Is this a graph of a direct variation?

• yes

• no