Certainly! To represent the cost of hiring a mid-size car from this company, we need to create an equation that takes into account both the one-off charge and the daily rate.
Let's break it down step-by-step:
1. The initial one-off charge is [tex]$125. This is a fixed cost, meaning it does not change no matter how many days the car is hired.
2. The additional daily rate for hiring the car is $[/tex]75 per day. This cost depends on the number of days (let's denote this number of days as [tex]\( t \)[/tex]) the car is hired.
To find the total cost ([tex]\( C \)[/tex]) of hiring the car, we sum these two components:
- The one-off charge of [tex]$125
- The total daily charges, which is $[/tex]75 multiplied by the number of days [tex]\( t \)[/tex]
So, the equation becomes:
[tex]\[ C = 125 + 75t \][/tex]
Here,
- [tex]\( C \)[/tex] represents the total cost.
- [tex]\( 125 \)[/tex] is the one-off charge.
- [tex]\( 75t \)[/tex] represents the cost associated with hiring the car for [tex]\( t \)[/tex] days at $75 per day.
Thus, the equation that gives the total cost [tex]\( C \)[/tex] based on the number of days [tex]\( t \)[/tex] that a car is hired is:
[tex]\[ C = 125 + 75t \][/tex]
