Answered

Get the answers you need at Westonci.ca, where our expert community is always ready to help with accurate information. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

A surf instructor has an initial fee of [tex]$\$[/tex]12[tex]$ and charges $[/tex]\[tex]$8$[/tex] per hour for lessons.

Write a linear equation that represents the total cost of surf lessons after a certain number of hours.

1. [tex]$y$[/tex]-intercept [tex]$=(0,12)$[/tex], point [tex]$=(x, y)$[/tex]
2. [tex]$m=8$[/tex]
3. [tex]$8=\frac{y-12}{x}$[/tex]
4. Solve for [tex]$y$[/tex] :
[tex]\[ y = 8x + 12 \][/tex]

Sagot :

GinnyAnswer
Sure! Let's break down the steps to write a linear equation that represents the total cost of surf lessons after a certain number of hours.

1. Identifying the y-intercept and the slope:
- The y-intercept is given as (0, 12). This means when the number of hours (x) is 0, the total cost (y) is $12.
- The slope (m), which represents the rate at which the cost increases per hour, is given as 8.

2. Using the slope-intercept form of a linear equation:
- The general form of a linear equation in slope-intercept form is [tex]\( y = mx + c \)[/tex], where [tex]\( m \)[/tex] is the slope and [tex]\( c \)[/tex] is the y-intercept.

3. Given values:
- Slope [tex]\( m = 8 \)[/tex]
- y-intercept [tex]\( c = 12 \)[/tex]

4. Substituting the given values into the slope-intercept form:
- Replace [tex]\( m \)[/tex] with 8 and [tex]\( c \)[/tex] with 12 in the equation [tex]\( y = mx + c \)[/tex].

5. Formulating the equation:
- Substituting these values, we get [tex]\( y = 8x + 12 \)[/tex].

Thus, the linear equation that represents the total cost [tex]\( y \)[/tex] of surf lessons after [tex]\( x \)[/tex] hours is:
[tex]\[ y = 8x + 12 \][/tex]
We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.