Answer :
To determine the correct equation, follow these steps:
1. The company reimburses \$0.65 for each mile driven. This means if $x$ represents the number of miles, the mileage reimbursement is given by
$$0.65x.$$
2. In addition to the per-mile reimbursement, there is a fixed reimbursement of \$145, regardless of how many miles are driven.
3. Therefore, the total reimbursement $C$ is the sum of the per-mile reimbursement and the fixed amount:
$$ C = 0.65x + 145. $$
Among the options provided, this model corresponds to option D.
1. The company reimburses \$0.65 for each mile driven. This means if $x$ represents the number of miles, the mileage reimbursement is given by
$$0.65x.$$
2. In addition to the per-mile reimbursement, there is a fixed reimbursement of \$145, regardless of how many miles are driven.
3. Therefore, the total reimbursement $C$ is the sum of the per-mile reimbursement and the fixed amount:
$$ C = 0.65x + 145. $$
Among the options provided, this model corresponds to option D.