Abhinav drives an average of 10,000 miles per year for business. To reduce the amount he pays on his taxes, Abhinav writes this off as a business expense. The government is offering $0.58 per mile driven for business this year. Abhinav would like to be able to write off a minimum of $6,000 from driving. Which of the following equations shows the minimum number of miles, m, he must drive, in addition to the 10,000 miles he already drives, to be able to do this?

A business traveler rents a car for $75 a day, and $0.50 for each mile. If the trip will last 3 days and the traveler can spend no more than $400, how many miles can be driven? Explain your reasoning and express the formula as an inequality.

A taxi charges  dollars for the first two miles and cents per quarter mile for every mile after the first two. Which equation describes the cost, in dollars, of a taxi ride of  miles?

Emily embarks on a cross-country bicycle journey and has a budget of $490. She rents a bicycle for $5 and pays an additional $1.75 per mile. Her miscellaneous expenses, such as camping gear and food, total $30. What is the maximum distance (in miles) Emily covers with her budget?

The monthly cost of driving a car depends on the number of miles driven. Lynn found that in May it cost her $505 to drive 460 mi and in June it cost her $565 to drive 700 mi.(a) Express the monthly cost C as a function of the distance driven d, assuming that a linear relationship gives a suitable model.C(d) = (b) Use part (a) to predict the cost of driving 1100 miles per month.$ (c) Draw the graph of the linear function.

Last week, the Vargas family drove 30 miles in their car and 15 miles in their truck.The letter m stands for the total number of miles they drove. Which equation can you use to find m?