To determine which slope-intercept form equation models the total amount Jennifer pays monthly, let's first understand the problem and break it down step-by-step.
1. Identify the monthly membership fee: Jennifer pays a fixed monthly membership fee of [tex]$60. This is a constant value that does not change with the number of yoga classes she attends.
2. Identify the additional fee per yoga class: Jennifer also pays an additional $[/tex]15 for each yoga class she attends. This fee varies depending on the number of yoga classes, so it acts as a variable in the equation.
3. Set up the slope-intercept form equation:
The slope-intercept form of a linear equation is given by:
[tex]\[
y = mx + b
\][/tex]
- [tex]\(y\)[/tex] represents the total amount paid monthly.
- [tex]\(x\)[/tex] represents the number of yoga classes attended.
- [tex]\(m\)[/tex] is the slope, which in this context is the cost per yoga class. Here, [tex]\(m = 15\)[/tex].
- [tex]\(b\)[/tex] is the y-intercept, representing the fixed monthly membership fee. Here, [tex]\(b = 60\)[/tex].
4. Form the equation:
Substituting the identified values into the slope-intercept form, we get:
[tex]\[
y = 15x + 60
\][/tex]
Thus, the equation that models the total amount Jennifer pays monthly is:
C. [tex]\[ y = 15x + 60 \][/tex]
Hence, the best answer is:
C
