Question 19

Question

Which situation could be modeled by a linear function?
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1 point
A. A bank account that grows at a rate of 5% per year, compounded annually
B. A population of bacteria that doubles every 4.5 hours
C. The cost of cell phone service that charges a base amount plus 20 cents per minute
D. The concentration of medicine in a person's body that decays by a factor of one-third every hour

Answer 1

The situation that could be modeled by a linear function is:

C. The cost of cell phone service that charges a base amount plus 20 cents per minute.

This scenario can be described with the linear equation \( C = b + 0.20m \), where \( C \) is the total cost, \( b \) is the base amount, and \( m \) is the number of minutes. The relationship between the number of minutes used and the total cost is linear.

The other options involve exponential growth or decay, which cannot be modeled by a linear function.