DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 18)

Problem 1 :

The function p is defined by p(n) = 7n³. What is the value of n when p(n) is equal to 56?

A)  2

B)  ⁸⁄₃

C)  7

D)  8

Solution :

Problem 2 :

The equation E(t) = 5(1.8)^t gives the estimated number of employees at a restaurant, where t is the number of years since the restaurant opened. Which of the following is the best interpretation of the number 5 in this context?

A)  The estimated number of employees when the restaurant opened

B)  The increase in the estimated number of employees each year

C)  The number of years the restaurant has been open

D)  The percent increase in the estimated number of employees each year

Solution :

Problem 3 :

Each year, the value of an investment increases by 0.49% of its value the previous year. Which of the following functions best models how the value of the investment changes over time?

A)  Decreasing exponential

B)  Decreasing linear

C)   Increasing exponential

D)  Increasing linear

Solution :

Problem 4 :

Solution :

Problem 5 :

An event planner is planning a party. It costs the event planner a onetime fee of $35 to rent the venue and $10.25 per attendee. The event planner has a budget of $200. What is the greatest number of attendees possible without exceeding the budget?

Solution :

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