Finding Slope and Writing Linear Equations Word Problems

You are buying the hamburgers and chicken for a party. The hamburgers cost $2.75 per pound and the chicken is $3.50 per pound. If you have $75 to spend, write and solve a linear equation to find how many pounds of chicken you can afford if you buy 12 pounds of hamburger.

• slope intercept

• standard form

• point slope form

Jake spent a three-day weekend on the lake. On Saturday, he rented a pontoon boat for three hours and paid $435. On Sunday, he rented the same boat for five hours and it cost him $190 more than it did the day before. If he rented the same boat on Monday for just two hours, find the the total cost to rent the boat for the three days.

• slope intercept form

• standard form

• point slope form

An airplane at 30,100 feet above the ground begins descending at the rate of 2,150 feet per minute. Write and solve a linear equation to find how many minutes it will take the plane to reach the ground.

• slope intercept form

• standard form

• point slope form

A candlestick burns at a rate of 0.2 inches per hour. After eight straight hours of burning, the candlestick is 13.4 inches tall. Write and solve a linear equation to find the original height of the candle.

• slope intercept form

• standard form

• point slope form

A group of mountain climbers begin an expedition with 250 pounds of food. They plan to eat a total of 12 pounds of food per day. Write and solve a linear equation to find the number of days their food will last.

• slope intercept form

• standard form

• point slope form

A tire dealer sells all-season tires for $68 each and all-terrain tires for $125 each. In one day, the sales both tires totaled $3,926. If 14 all-terrain tires were sold, write and solve a linear equation to find the number of all-season tires sold.

• slope intercept form

• standard form

• point slope form

Since Beth was born, the population of her town has increased at a rate of 850 people per year. On Beth’s 9th birthday, the total population was nearly 307,650. Write and solve a linear equation to find the population on Beth’s 16th birthday.

• slope intercept form

• standard form

• point slope form

An international calling plan charges a rate per minute plus a flat fee. A 10-minute call to France costs $3.19. A 15-minute call to France costs $4.29. Write and solve a linear equation to find the cost of a 12-minute call to France.

• slope intercept form

• standard form

• point slope form

A road side vegetable stand sells pumpkins for $5 each and tomatoes for $3 each. The total sales on a certain day was $98. If they sold 10 pumpkins, write and solve a linear equation to find the number of tomatoes sold.

• point slope form

• standard form

• slope intercept form

To order tickets online to a hockey game, there is a processing fee plus the cost per ticket. The cost for 5 tickets is $174.45. The cost for 8 tickets is $271.95. Write and solve a linear equation to find the total cost to order 12 tickets.

• slope intercept form

• standard form

• point slope form