Question

c.a 1 - 2: review problem set 2
name:
period (circle): 2a 3a 4a 1b 2b 4b
problem 1: cell phone plan
marias monthly cell phone bill is represented by the function ( f(m)=15m + 25 ), where ( m ) is the number of gigabytes of data she uses beyond her basic plan, and ( f(m) ) is her total monthly bill in dollars.
what does the number 15 in the function represent?
a) the cost of her basic monthly plan
b) the cost per gigabyte for additional data usage
c) the maximum number of gigabytes she can use
d) the total amount she pays each month
problem 2: taxi ride
the cost of a taxi ride in the city is given by the function ( c(d)=2.50d + 4.00 ), where ( d ) represents the distance traveled in miles and ( c(d) ) represents the total cost in dollars.
what does the number 4.00 in the function represent?
a) the cost per mile for the taxi ride
b) the maximum distance the taxi will travel
c) the initial fee charged when you get in the taxi
d) the total cost of a 4 - mile trip

Explanation:

For Problem 1:
The function \( f(m)=15m + 25 \) is in the form of a linear function \( y = mx + b \), where \( m \) is the slope. In the context of the cost - function, the slope represents the rate of change of the cost with respect to the number of gigabytes. Here, for each additional gigabyte (\( m \) increases by 1), the cost \( f(m) \) increases by 15. So, 15 is the cost per gigabyte for additional data usage.

For Problem 2:
The function \( C(d)=2.50d + 4.00 \) is a linear function. When \( d = 0 \) (i.e., before the taxi has started traveling any distance), \( C(0)=2.50\times0+4.00=4.00 \). In the context of a taxi - ride cost function, when the distance \( d = 0 \), the cost is the initial fee charged when you get in the taxi.

Answer:

Problem 1: B. The cost per gigabyte for additional data usage
Problem 2: C. The initial fee charged when you get in the taxi