Questions: A bike rental service charges a 23.30 initial flat rate and then an additional 3.60 per hour. Write an equation in slope-intercept form where x represents the number of hours of the rental, and y represents the total cost of the rental.

A bike rental service charges a 23.30 initial flat rate and then an additional 3.60 per hour. Write an equation in slope-intercept form where x represents the number of hours of the rental, and y represents the total cost of the rental.

Transcript text: 12 A bike rental service charges a $\$ 23.30$ initial flat rate and then an additional $\$ 3.60$ per hour. Write an equation in slope-intercept form where $x$ represents the number of hours of the rental, and $y$ represents the totat cost of the rental. Show your work here $y=$ $x+-* \frac{\square}{\square}$

Solution

Solution Steps

Step 1: Identify the components of the equation

The problem states that the bike rental service charges an initial flat rate of $ \$23.30 $ and an additional $ \$3.60 $ per hour. In the slope-intercept form $ y = mx + b $, $ b $ represents the initial flat rate, and $ m $ represents the rate per hour.

Step 2: Assign values to the slope-intercept form

Here, $ b = 23.30 $ (the initial flat rate) and $ m = 3.60 $ (the rate per hour). The variable $ x $ represents the number of hours, and $ y $ represents the total cost.

Step 3: Write the equation in slope-intercept form

Substitute the values of $ m $ and $ b $ into the slope-intercept form: \[ y = 3.60x + 23.30 \]