Comparing functions (GMAS)

Which situation can be modelled by a linear function?

• A plumber charges $150. for house calls plus $25 for ever hour spent at your house.

• Mr. David's new Jeep worth $19500, depreciates by 12% every year.

• Rattle snakes population triples every 5 months.

• Zavier had 50 tickets for the Fair. Every ride required 6 tickets to get on.

Which of the functions below corresponds to the table on the left?

• y = 2x + 1

• y = 3x + 1

• y = -2x + 1

• y = -3x + 1

If a function increases by a common difference, what kind of function does it represent?

• Quadratic

• Linear

• Exponential

• Neither

If a function increases by a common factor, what kind of function does this represent?

• Quadratic

• Linear

• Exponential

• Neither

A lottery winner must choose between g(x) and h(x) for the distribution of winnings. Each month the distribution increases as shown in the tables. If the payout will last two years, which plan should the winner choose and why?

• The winner should choose g(x) because the table starts with thousands.

• The winner should choose h(x) because it will eventually yield more money.

• g(x) will eventually yield more money than h(x).

• x = 2

• x = 4

• x = 3

• x = 5

Peter invested $38,500. This amount is expected to increase by 8% each year. About how much money is expected to be in Peter's account after 7 years?

• 43,455

• 48,500

• 60,060

• 65,982

A certain species of ants has a current population of 2400. This amount triples in size every 8 years. What would the population be in 24 years?

"The Bush species of elephants is gradually becoming extinct. "

Which of the graphs below best represents this statement?

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The table on the left shows the charges for text messaging by Verizon Wireless.

Sprint charges $0.03 per text message.

Which company offers the cheapest plan for up to 500 messages?

• Verizon

  cost for 500 texts is $25

• Sprint

  cost for 500 texts is $15.

• Sprint

  cost for 500 texts is $20

• Verizon

  cost for 500 texts is $