A linear equation in slope-intercept form is represented by the expression:
[tex]\begin{gathered} C=mr+b \\ \text{where,} \\ m=\text{ rate of change (\$1.75 per ride)} \\ b=\text{ y-intercept (initial value, means admission fee)} \end{gathered}[/tex]Then, the equation that represent this situation would be:
[tex]C=1.75r+7[/tex]