The cost (c) of hiring a car is given by C = 12d + 19, where d represents days. Determine the maximum number of whole days we can hire a car if we have a total of $130.

The cost function is given by \( C = 12d + 19 \), where \( C \) is the cost and \( d \) is the number of days. You want to find the maximum number of whole days you can hire a car if you have a total of $130. In other words, you want to find the maximum value of \( d \) when \( C = 130 \). \[ 12d + 19 = 130 \] Subtract 19 from both sides: \[ 12d = 111 \] Now, divide both sides by 12 to solve for \( d \): \[ d = \frac{111}{12} \] To find the maximum number of whole days, you want the largest whole number that is less than or equal to \( \frac{111}{12} \). The largest whole number is 9. So, you can hire the car for a maximum of 9 whole days with a total cost of $130.