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WGU Applied Algebra FXO2 PFXP C957 Sample Questions:

1. The graphed function n(t)represents the number of animals, n, at a feeding station thours after 5:00 a.m. The plotted points Aand Bhave coordinates (1#10.6)and (8#6.59).

Which statement gives the correct interpretation of the average rate of change of the number of animals over the interval from point Ato point B?

A) The number of animals at the station decreases at an average rate of 4.01 per hour.
B) The number of animals at the station decreases at an average rate of 0.573 per hour.
C) The number of animals at the station increases at an average rate of 0.573 per hour.
D) The number of animals at the station increases at an average rate of 4.01 per hour.

2. The given function represents the price of a commodity, p, in dollars, based on the number of months, m, since the beginning of 2020.
p(m)=5m+5
What is the average rate of change of the price over the interval m=1to m=10?

A) 45
B) 5.91
C) 32.5
D) 5

3. An exponential growth function can be used to model the number of bacteria in a population. The function G(t)=1,600× # 1.31 # ^t is the model, with Grepresenting the number of bacteria cells and trepresenting the time in minutes.
What is the size of the population after 25 minutes?

A) 1,043,833
B) 1,367,421
C) 1,791,322
D) 796,819

4. The logistic function f(x), whose graph is shown, models the number of registrants for an academic conference, where xrepresents the number of weeks since registration opened and f(x)represents the number of registrants.

How does the number of registrants change as time progresses from week 1 to week 7?

A) The number of registrants decreases faster and faster.
B) The number of registrants increases slower and slower.
C) The number of registrants decreases slower and slower.
D) The number of registrants increases faster and faster.

5. The function P(t)represents the yearly profit, in millions of dollars, for a streaming service since opening. The graph of P(t)is shown.

What is the correct interpretation of the maximum value?

A) Approximately 10.5 years after opening, a maximum yearly profit of approximately $235,000was earned.
B) Approximately 10.5 years after opening, a maximum yearly profit of approximately $1,410,000was earned.
C) Approximately 22 years after opening, a maximum yearly profit of approximately $235,000was earned.
D) Approximately 22 years after opening, a maximum yearly profit of approximately $1,410,000was earned.

Solutions: