A rental truck costs $50 plus $0.40 per mile.
Write an equation that gives the cost of driving the truck x miles
Use the intersection of graphs method to determine the number of miles that the truck is driven if the rental cost is $70.
cost = 50 + .4x
set 50 + .4x = 70
and solve for x
To write an equation that gives the cost of driving the truck x miles, we can use the information provided: a rental truck costs $50 plus $0.40 per mile.
The equation can be represented as: Cost = 50 + 0.40x, where x is the number of miles driven and Cost represents the total cost.
To determine the number of miles that the truck is driven if the rental cost is $70, we can set up an equation by equating the total cost to $70:
70 = 50 + 0.40x
Now, we can solve this equation to find the value of x.
First, we need to isolate the variable x by subtracting 50 from both sides of the equation:
70 - 50 = 50 + 0.40x - 50
20 = 0.40x
To isolate x, we can divide both sides of the equation by 0.40:
x = 20 / 0.40
Simplifying,
x = 50
Therefore, the truck is driven 50 miles if the rental cost is $70.