Question

Ian's monthly car payment is $309.49. Ian pays $172.96 every month for car insurance and he estimates he spends an average of $28 per month on car maintenance. Ian's car gets 33 miles per gallon, gas cost Ian $3.03 per gallon, and Ian drives an average of about 842 miles per month. Estimate how much Ian spend on his transportation costs each month.Round your answer to the nearest whole dollar. Input only the number. Do not input the dollar sign. Example: 371

Answer 1

588

Step-by-step explanation

Step 1

Let

monthly debt

a) fixed costs

`\begin{gathered} \text{car payment}\rightarrow\text{ \$ 309.49} \\ \text{ insurance}\rightarrow172.96 \\ \text{ maintenance}\rightarrow28 \\ \text{total = }510.45\text{ \$ per month} \end{gathered}`

b) gas

Let

`\begin{gathered} rate=\frac{3.03\frac{\text{ \$}}{\text{gallon}}\cdot}{33\frac{miles}{\text{gallon}}}=\frac{\text{ \$}}{\text{miles}} \\ rate=0.0918\text{ }\frac{\text{ \$}}{\text{mile}} \end{gathered}`

so, the total cost for the gas is

`\begin{gathered} \text{total cost gas = rate}\cdot average\text{ } \\ \text{total cost gas =842}\frac{miles}{\text{month}}\cdot0.0918\frac{\text{ \$}}{\text{miles}} \\ \text{total cost gas =}77.13\frac{\text{ \$}}{\text{month}} \end{gathered}`

Step 2

finally, the total transpotation costs each month would be

`\begin{gathered} \text{Total = fixed cost+gas} \\ \text{total = \$510.45+ \$77.13} \\ \text{total = \$587.76} \\ \text{rounded ( no dollarsign)} \\ \text{total = 588} \end{gathered}`

therefore, the answer is 588

I hope this helps you