Question

1. a cab company charges a flat fee of $5 and then $2 per mile. write an equation in slope - intercept form that represents the total cost (y) based on the number of miles (x) driven. then, use the equation to find the cost for a 15 - mile trip.

Explanation:

Step1: Identify slope and intercept

Slope $m = 2$ (cost per mile), intercept $b = 5$ (flat fee). Slope-intercept form: $y = mx + b$.

Step2: Write the equation

$y = 2x + 5$

Step3: Calculate cost for 15 miles

Substitute $x = 15$ into the equation: $y = 2(15) + 5 = 30 + 5 = 35$.

Answer:

$y = 2x + 5$; $35$