IM 6.7 Practice Problems

Based on past musical productions, a theater predicts selling 400 - 8p tickets when each ticket is sold at p dollars.

Complete the table to find out how many tickets the theater expects to sell and what revenues it expects to receive at the given ticket prices.

d

e

b

c

f

g

a

0

360

240

4800

280

1800

4200

Based on past musical productions, a theater predicts selling 400 - 8p tickets when each ticket is sold at p dollars.

For which ticket prices will the theater earn no revenue?

• Ticket price of $0

• Ticket price of 50

• Ticket price of 20

• Ticket price of 30

Based on past musical productions, a theater predicts selling 400 - 8p tickets when each ticket is sold at p dollars.

At what ticket prices should the theater sell the tickets if it must earn at least $3,200 in revenue to break even (to not lose money) on the musical production?

• Between $10 and $40

• Between $10 and $50

• Between $20 and $40

• Between $20 and $45

A company sells running shoes. If the price of a pair of shoes in dollars is p, the company estimates that it will sell 50,000 - 400p pairs of shoes.

Write an expression that represents the revenue in dollars from selling running shoes if a pair of shoes is priced at p dollars.

Tags

CCSS.7.EE.A.2

CCSS.HSA.SSE.A.2

The function f represents the revenue in dollars the school can expect to receive if it sells 220 - 12x coffee mugs for x dollars each.

Here is the graph of f.

Select all the statements that describe this situation.

Groups:

(a) True

,

(b) Untrue

• The school will lose money if it sells the mugs for more than $10 each.

• The expected revenue will increase if the price per mug is greater than $10.

• At $2 per coffee mug, the revenue will be $196.

• The school expects to sell 160 mugs if the price is $5 each.

• The school will earn about $1,000 if it sells the mugs for $10 each.

• The revenue will be more than $700 if the price is between $4 and $14.

Write an equation to represent the relationship between the step number, x, and the number of small squares, y.

Mathematical Equivalence

ON

Tags

CCSS.6.EE.B.6

A rock is dropped from a bridge over a river. Which graph could represent the distance fallen, in feet, as a function of time in seconds?

• Graph A

• Graph B

• Graph C

• Graph D

Tags

CCSS.8.EE.B.5

• The bacteria population 3 days before it was first measured was 800,000.

• The population was more than 1,000 one week before it was first measured.

• The population was more than 1,000,000 one week after it was first measured.

• The bacteria population 4 days before it was first measured was 6,250.

Tags

CCSS.HSF.LE.B.5