Question

A cab company charges a $5 pick up fee and $1 for each mile up to 10 miles and $2 per mile for each mile over $10. Which graph correctly represents the charge, y, in dollars for a cab ride of x miles?

(there’s one more graph that i couldn’t fit in the screenshot. if any of these choices are wrong,let me know. it must be the graph that i couldn’t show)

Answer 1

The graph that correctly represents the linear piece-wise function is the first graph.

What is a linear function?

A linear function is modeled by:

$y = mx + b$

In which:

• m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

• b is the y-intercept, which is the value of y when x = 0.

A cab company charges a $5 pick up fee and $1 for each mile up to 10 miles, hence:

$y = 5 + x, x \leq 10$

Hence, at x = 10, we have that:

y = 5 + 10 = 15.

$2 per mile for each mile over $10, hence:

$y = 15 + 2(x - 10), x \geq 10$

Hence, at x = 14, we have that:

y = 15 + 2(14 - 10) = 15 + 8 = 23.

Thus the first graph is correct.

More can be learned about linear functions at https://brainly.com/question/24808124

Answer 2

Answer:A. It is the first graph

Step-by-step explanation: