QuestionBillie is planning to rent a car while on vacation. The equation $C=0.65 m+55$ models the relation between the cost in dollars, $C$ , per day and the number of miles, $m$ , she drives in one day. What is the cost on a day when Billie drives the car 0 miles? 200 miles?
Plot these two points to graph the equation.

Studdy Solution

STEP 1

1. The cost equation is given by $C = 0.65m + 55$ .
2. $C$ represents the cost in dollars per day.
3. $m$ represents the number of miles driven in one day.
4. We need to calculate the cost for 0 miles and 200 miles.
5. We will plot these two points on a graph to visualize the equation.

STEP 2

1. Calculate the cost for 0 miles.
2. Calculate the cost for 200 miles.
3. Plot the points on a graph.

STEP 3

Calculate the cost for 0 miles.
Substitute $m = 0$ into the equation $C = 0.65m + 55$ .
$C = 0.65(0) + 55$ $C = 0 + 55$ $C = 55$
The cost when Billie drives 0 miles is $\boxed{55}$ dollars.

STEP 4

Calculate the cost for 200 miles.
Substitute $m = 200$ into the equation $C = 0.65m + 55$ .
$C = 0.65(200) + 55$ $C = 130 + 55$ $C = 185$
The cost when Billie drives 200 miles is $\boxed{185}$ dollars.

STEP 5

Plot the points on a graph.
- The first point is (0, 55). - The second point is (200, 185).
To graph the equation, plot these points on a coordinate plane where the x-axis represents miles driven ( $m$ ) and the y-axis represents the cost ( $C$ ).
Draw a line through these points to represent the equation $C = 0.65m + 55$ .

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