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WGU Applied Algebra FXO2 PFXP C957 Sample Questions:

1. 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) 796,819
C) 1,791,322
D) 1,367,421

2. The populations, in thousands, of two towns are shown in the graph, where the horizontal axis measures the time in years.

Which town's population is growing at a faster rate?

A) Town A, because 8.0 > 5.5
B) Town B, because 1.3 > 1.0
C) Town A, because 1.3 > 1.0
D) Town B, because 8.0 > 5.5

3. A new company just launched and is using the function M(t)to predict its market share after tyears. The graph of M(t)is shown.

When should the company expect to have a market share of 40%?

A) After 0.8 years
B) After 7.4 years
C) After 3 years
D) After 2 years

4. The values, in dollars, of two accounts over time are modeled by
A_1 (t)=6,500× # 1.05 # ^t
and
A_2 (t)=3,000× # 0.96 # ^t
The variable tis measured in years.
What is the difference between the accounts after 3 years?

A) The value of Account 1 is about $2,654greater than the value of Account 2.
B) The value of Account 1 is about $2,654less than the value of Account 2.
C) The value of Account 1 is about $4,870less than the value of Account 2.
D) The value of Account 1 is about $4,870greater than the value of Account 2.

5. The data in the scatterplot represents the number of monthly train crossings at a particular intersection over time.

Which type of function should be used to model the data?

A) Exponential
B) Polynomial
C) Logistic
D) Linear

Solutions: