Questions: Mrs. Page is taking a group of students to see an exhibit. The cost of the bus rental is 250 and the cost per ticket to see the exhibit is 15. Create an equation with two variables that models this situation, and find the total cost for the event if 40 students teachers plan to attend. C=250-15 x ; 600 C=250+15 x ; 265 C=250 x+15: 10,015 C=250+15 x ; 850

Mrs. Page is taking a group of students to see an exhibit. The cost of the bus rental is 250 and the cost per ticket to see the exhibit is 15. Create an equation with two variables that models this situation, and find the total cost for the event if 40 students teachers plan to attend.
C=250-15 x ; 600
C=250+15 x ; 265
C=250 x+15: 10,015
C=250+15 x ; 850

Transcript text: Mrs. Page is taking a group of students to see an exhibit. The cost of the bus rental is $\$ 250$ and the cost per ticket to see the exhibit is \$15. Create an equation with two variables that models this situation, and find the total cost for the event if 40 students & teachers plan to attend. $C=250-15 x ; \$ 600$ $C=250+15 x ; \$ 265$ $C=250 x+15: \$ 10,015$ $C=250+15 x ; \$ 850$

Solution

Solution Steps

To model the situation, we need to create an equation that represents the total cost $ C $ as a function of the number of students and teachers $ x $. The total cost includes a fixed bus rental fee of \$250 and an additional cost of \$15 per ticket. Therefore, the equation is $ C = 250 + 15x $. To find the total cost for 40 students and teachers, we substitute $ x = 40 $ into the equation.

Step 1: Define the Cost Equation

To model the total cost $ C $ for the event, we consider the fixed cost of the bus rental and the variable cost of tickets. The equation is given by: \[ C = 250 + 15x \] where $ x $ is the number of students and teachers attending.

Step 2: Substitute the Number of Attendees

We need to find the total cost when $ x = 40 $: \[ C = 250 + 15(40) \]

Step 3: Calculate the Total Cost

Now, we perform the calculation: \[ C = 250 + 600 = 850 \]