Mastery Final Comprehensive Part 2

A person’s cell phone battery is 𝟗𝟖 percent charged on Saturday morning and loses charge at a rate of 𝟒 percent per hour. If 𝟎 ≤ 𝒕 ≤ 𝟏𝟓, which function, 𝑷(𝒕), represents the total amount of charge the phone battery has as a function of time, 𝒕, in hours since Saturday morning?

• 𝑃(𝑡) = 4𝑡 − 98

• 𝑃(𝑡) = 15𝑡 − 98

• 𝑃(𝑡) = 98 − 15t

• 𝑃(𝑡) = 98 − 4t

Tags

A1.F.BF.A.1.a

Tags

A1.A.SSE.B.3.a

A biologist observes the growth of a deer population in a town. The biologist finds that the initial population of 𝟕𝟓 deer triples each year.

Which equation can be used to find the number of years, 𝒙, it takes for the number of deer in the town to reach 𝟏, 𝟏𝟐𝟓?

• 1,125 = 3 + 75x

Tags

A1.A.CED.A.1

Use the information given to answer questions 19-20. A leatherworker makes wallets and coin purses to sell at a market for $𝟐𝟒 each.

The function 𝒈(𝒙) = 𝟐𝟒(𝒙 + 𝟏𝟕) represents the total amount, in dollars, the leatherworker earns by selling 𝒙 wallets and 𝟏𝟕 coin purses.

What is the value of 𝒈(𝟐𝟏)?

• 429

• 521

• 861

• 912

Tags

A1.F.IF.A.2

Use the information given to answer questions 19-20. A leatherworker makes wallets and coin purses to sell at a market for $𝟐𝟒 each.

The function 𝒈(𝒙) = 𝟐𝟒(𝒙 + 𝟏𝟕) represents the total amount, in dollars, the leatherworker earns by selling 𝒙 wallets and 𝟏𝟕 coin purses.

What does 𝒈(𝟏𝟖) = 𝟖𝟒𝟎 represent?

• The leatherworker sells 18 wallets and earns $840 by selling the wallets and coin purses at the market.

• The leatherworker sells 18 wallets and spends $840 on supplies to make the wallets and coin purses.

• The leatherworker sells 18 wallets and coin purses at the market and earns $840 by selling the wallets and coin purses at the market.

• The leatherworker sells 18 wallets and coin purses at the market and spends $840 on supplies to make the wallets and coin purses.

Tags

A1.F.IF.A.2

The equation 𝟒𝒙 + 𝟓𝒚 = 𝟑𝟓 represents the total cost, in dollars, of a customer’s purchase at a home improvement store, where 𝒙 is the price of an extension cord, and 𝒚 is the price of a lightbulb. Which represents the equation when solved for the price of a lightbulb, 𝒚?

Tags

A1.A.CED.A.4

Consider the graph of the quadratic function 𝒑(𝒙).

If the graph of the quadratic function is represented by 𝒑(𝒙) = (𝒙 + 𝟒) 𝟐 + 𝒎, what is the value of 𝒎?

• -4

• -3

• 3

• 4

Tags

A1.F.BF.B.2

Consider the exponential functions representing two different insect populations, in number of insects over time, 𝒙, in years, since the populations were discovered, where 𝒙 ≥ 𝟎.

What is the distance between the 𝒚-intercepts of the functions?

• 7 inches

• 8 inches

• 11 inches

• 26 inches

Tags

A1.F.IF.C.8

• the cost of repairs on the house

• the factor by which the value of the house increases each year

• the value of the house in ten years

• the value of the house when it was purchased

Tags

A1.A.SSE.A.1.a

• -11

• -2

• 11

• 22

Tags

A1.A.REI.B.3.b