Question

Which function has a greater initial value, and what is the initial value?

A taxi company charges $2.10 per mile with an initial charge. After taking a 3-mile trip, the total charges were $8.80.
Another taxi company charges a rate per mile and an initial charge based on the information in the table below:
A) Function 1 has the greater initial value; the y-intercept is $2.10.
B) Function 1 has the greater initial value; the y-intercept is $2.50.
C) Function 2 has the greater initial value; the y-intercept is $2.00.
D) Function 2 has the greater initial value; the y-intercept is $2.70.

Answer 1

Based on the given information for the first taxi company, the initial charge is calculated to be $2.50 by subtracting the mileage cost from the total cost. However, we are missing the table with the data for the second taxi company, so we cannot make a comparison.

Step-by-step explanation:

To determine which taxi company function has the greater initial value, and the value of that initial charge or y-intercept, we need to analyze the information given about the first company and compare it to the data for the second company. For the first taxi company, we have the total cost for a 3-mile trip, which was $8.80, including an initial charge and the charge per mile ($2.10 per mile). If 3 miles cost $2.10 each, that adds up to $6.30 for the mileage. So, subtracting that from the total gives us the initial charge: $8.80 - $6.30 = $2.50. This is the y-intercept for the first company.

However, the table providing the cost information for the second company was not included in the question. Without this information, we are not able to accurately compare the initial charges or determine which is greater. Therefore, based on the available information, we can only conclude that Function 1 has a y-intercept of $2.50, which corresponds to choice B.