The total cost C of renting a truck, where Kylie incurs an initial fee of $50 plus $3 per mile, is represented by the linear equation C = 50 + 3m. A table of values provides examples at certain mile intervals, confirming the linear relationship between miles driven and total cost.
To find the total cost of renting the truck that Kylie would incur (C), depending on the number of miles driven (m), we can create a linear equation.
Since there is an initial charge of $50 and a fee of $3 per mile driven, the equation would be of the form C = initial charge + (cost per mile × number of miles driven).
The equation representing this scenario is: C = 50 + 3m.
Let's make a table of values to represent a few possible scenarios:
If Kylie drives 0 miles, C = 50 + 3(0) = $50
If Kylie drives 10 miles, C = 50 + 3(10) = $80
If Kylie drives 20 miles, C = 50 + 3(20) = $110
If Kylie drives 30 miles, C = 50 + 3(30) = $140
The equation is linear because the total cost increases by a constant amount ($3) for each additional mile driven.