Final answer:
The equation that represents the situation where Jim rents a truck for one day and pays $22 plus $0.75 per mile is y = 22 + 0.75x, where y is the total cost and x is the number of miles driven.
Step-by-step explanation:
To write an equation that represents the situation where Jim rents a truck for one day and pays $22 plus $0.75 per mile, we can use a linear equation. Let's denote the total cost as y and the number of miles driven as x. The cost includes a fixed charge plus a variable charge that depends on the number of miles driven.
The equation representing the total cost y of renting the truck based on the number of miles x driven is:
y = 22 + 0.75x
Here, 22 is the fixed cost or the y-intercept which represents the initial amount paid regardless of the miles driven. The number 0.75 is the slope of the equation or the rate per mile, indicating that for every mile Jim drives, the cost will increase by $0.75.