Hotmath Practice Problems

y varies directly with x and when x = –1, y = 4. Write and graph an equation that relates x and y. Find the value of y when x = 3.

A student is assigned a 3000–word paper for a class. He types 120 words in 4 minutes. At this rate how long will it take him to complete the paper?

A person who weighs 120 pounds on Earth weighs 20 pounds on Moon. Find the weight of a 180 pounds person on Moon.

John deposited an amount of $1000 initially in his account. He plans to deposits $200 each month. Find the amount in his account after 10 deposits.

According to the health standards, the average weight of a 60 inches tall male was 125 pounds and a 50 inches tall male was 110 pounds. If Henry is 7 feet tall, find his weight using the above standards.

Mr. S works as a waiter in a restaurant. He earns $1200 per month as a base salary, plus tips averaging 20% of the meals he serves. Write a linear model for the situation, and use it to find the amount earned if Mr. S serves meals worth a total of $4000.

In American Football, a field goal earns 3 points and a touchdown (with extra point) earns 7. Assuming a team scores only in these two ways, and earns a total of 48 points, write an equation relating the number of field goals x with the number of touchdowns y. Put the equation in slope–intercept form, and graph it.

The following table shows the number of CDs in Arun's music collection over the years.

Make a scatter plot of this data. Write a linear model. What does the slope represent? Estimate the number of CDs Arun will have in 2010.

Suppose you spend $30.00 on snacks for a party. The dried shrimp cakes cost $3.00 per pound and the chocolate–covered mushroom stems cost $4.50 per pound. Write an equation in standard form that represents the different amounts (in pounds) of shrimp cakes, S, and mushroom stems, M, you could buy.

If you buy 2 pounds of mushroom stems, how many pounds of shrimp cakes can you buy?

There is a population of 200 tigers in a national park. Poachers are killing them at the rate of 8 per year. Assume the population is otherwise unchanging, and write a linear model and graph it. What does the x–intercept signify?

The perimeter of a fenced rectangular area is 75 m. Write a linear model relating the length and width. If the length is 5 m, find the width.

At 8 A.M. a motor bike driving at a constant speed passes a school 40 mi from its starting point. At noon the bike is about 120 mi from the school. If the motorbike is parked at 2:30 P.M., how far will the bike be from its starting point?

A vegetable vendor charges $3.50 a kg for the fresh carrot. He receives $3.00 for delivering the order. Relate the total cost (y) to the quantity of carrot (x) ordered and delivered. Find the quantity of carrot that can be ordered and delivered for $28.00?

a Give an equation relating the quantity labeled y to the quantity labeled x.

b Draw the Graph of the equation.

c Answer the question using the graph.