Samuel's Car Service charges a flat travel fee of $4.75 per trip. They also charge an additional rate of $1.50 per mile traveled. What is an equation that represents the charges?

1) \( y = 1.5x + 1.5 \)
2) \( y = 4.75x + 4.75 \)
3) \( y = 1.5x + 4.75 \)
4) \( y = 4.75x + 1.5 \)

D. You have 4.75 flat and 1.5 every time you are driving another mile.

Answered by brittanycandace | 2024-06-10

The correct equation representing the charges for Samuel's Car Service, which includes a flat travel fee and a rate per mile, is y = 1.5x + 4.75.
We are given that Samuel's Car Service charges a flat travel fee of $4.75 plus an additional rate of $1.50 per mile traveled. To represent these charges in the form of a linear equation, we identify the independent variable (the number of miles traveled) and the dependent variable (the total charges).
This leads us to a linear equation with the structure of y = mx + b, where y represents the total cost, x represents the miles traveled, m is the rate per mile, and b is the flat fee.
Using this format, the correct equation that represents the charges is y = 1.5x + 4.75, making the correct option:

y=1.5x+4.75

Answered by IngridBergman | 2024-06-24

The equation that represents the charges for Samuel's Car Service is y = 1.5 x + 4.75 , where y is the total cost, and x is the number of miles traveled. This means there is a flat charge of $4.75 plus $1.50 for each mile traveled. Therefore, the correct option is 3.
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Answered by brittanycandace | 2024-10-30