Q:

Eliana plans to visit the fair. She must pay $5 to enter the fairgrounds and an additional $3 per ride. Write an equation to show the relationship between r, the number of rides, and t, the total cost in dollars. State which variable is dependent and which is independent. Then, create a graph that models the equation.

Accepted Solution

A:
Answer:The required equation is: [tex]t=3r+5[/tex]The required graph is shown below:Step-by-step explanation:Consider the provided information.Eliana plans to visit the fair. She must pay $5 to enter the fairgrounds and an additional $3 per ride.Let r is the number of rides, and t is the total cost in dollars.For r numbers of rides she need to pay $3r and $5 to enter the fairgrounds.Thus, the required equation is: [tex]t=3r+5[/tex]Here, the number of rides are the independent variable and total cost is dependent variable, because the total cost will increase as the number of rides increases and decreases as the number of rides decreases.Now we need to create a graph that models the equation.First draw the table as shown:Number of Rides               Total cost              0                                  5              1                                   8              2                                  11              3                                  14              4                                  17The required graph is shown below: