Unit 4 Linear Function Review

A plumbing company charges $50 for a service call plus $35 per hour for labor. What equation can be used to calculate the total cost (c) based on the number of hours (h) of labor?

• h = 50c + 35

• c = 50 + 35h

• h = 50 + 35c

• c = 50h + 35

Assuming the pattern continues, the function ​ (a)   could be used to find the total number of days Jayla used her gym membership at the end of month n.

Which graph best represents this table?

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While training on her kayak, Ta'Naisha travels m mph in still water, where m > 2.3. The kayak is traveling against a 2.3 mph current. Which of the following represents d, the number of miles the kayak travels under these conditions in 4.5 hours?

• d = 4.5m - 2.3

• d = 4.5m + 2.3

• d = 4.5(m - 2.3)

• d = 4.5(m + 2.3)

The function ​ (a)   represents the cost of a cell phone plan when t number of text messages are sent.

The following equation is used to calculate the profit (or loss), p, in dollars, when a company sells x number of T-shirts.

p = 15x - 615.25

What is the domain?

• integers

• whole numbers

• positive integers

• positive real numbers

Lemar works at a concert arena. When the price of a ticket is $30, a concert will be attended by 2,500 people. Each time the price is raised by an increment of $5, there will be 100 fewer people at the concert. Lemar uses the equation R = (30 + 5n)(2500 - 100n) to determine R, the total concert revenue in dollars when there have been n $5 increases in ticket price. Which conclusion is valid?

• The total concert revenue decreases when the price of a ticket is greater than $30.

• The number of people attending the concert is represented by 2500 - 100n.

• The number of times the prices is raised is represented by 30 + 5n.

• The cost per concert ticket must be less than $55.

Select the phrase from the menu that best completes the sentence.

On a small volcanic island, lava is flowing at a constant rate of 800 meters per day and can be modeled by the function f(d) = 800d, where f(d) represents the distance from the source of the lava flow, and d represents the day of the flow.

The domain of f(d) in this context is best described as ​ (a)   .

• all integers between 0 and 800
• all positive real numbers
• all real numbers
• all non-negative integers

A farmer plants crops in several rows starting with 3 crops in the first row, 6 in the second row, and 12 in the third row. The farmer continues the pattern for the rest of the rows of crops. What is the number of crops in row 6?

Which equation represents the formula for the general terms, a_n, of an arithmetic sequence when a₁ = 3 and a₁₁ = 23?

• a_n = 3 + 2(n - 1)

• a_n = 2 + 23(n - 1)

• a_n = 23 + 10(n - 1)

• a_n = 23 + 2(n -1)