3.2 Representing and Solving Linear Problems
A large cheese pizza costs $8.99. Each additional costs $1.30. What is the greates number of toppings can you get if you have $15 to spend on a pizza?
4x + 10 = 6x + 2
x = 4
Find the solution to 3(x - 10) = 5x .
What is x = -15.
What type of sequence is the following? How do you know?
10,13,16,19,22...
What is arithmetic sequence. It starts at 10 and has a common difference of 3.
Badwater Basin is the lowest place in North America. A hiker begins his climb at the bottom of the basin, 280 feet below sea level. He gains altitude at a rate of about 760 feet per hour. How long will it take him to reach an elevation of 200 feet above sea level? Give your answer in minutes. (Use an equation to solve)
What is about 38 minutes. (or 37.9 minutes)
Company A currently has 61 employees and is hiring 5 employees a year. Company B currently has 7 employees and is hiring 11 employees a year. Determine exactly how many years it will take for the two companies to have the same number of employees.
What is 9 years.
What is x = -3.
Find the slope of the line passing through (-3,10) and (15,-14)
What is -4/3?
Janelle measured 3 cups of flour into a bowl. When she weighs the bowl with its contents, it weighs 757 grams. When the bowl is empty it weighs 385 grams. Find the approxiate weight, in grams, of a cup of flour.
Kenny works at the car wash and gets paid by the hour. Last week, Kenny earned $157.50 at his job. This week, he worked 2 hours more than last week and earned $180. How much does Kenny get paid per hour?
What is $11.25.
The number of participants in the dog walking club and the sidewalk chalk club is changing at the same constant rate of people per year. In 2010, the dog walking club had 54 members and the sidewalk chalk club had 72 members. In 2013, the dog walking club had the same number of members as the sidewalk chalk club did in 2016, Find the rate at which the club memberships are changing.
What is -6. Each club loses 6 members per year.
Write the equation for the line passing through points (9,2) and (9,-4).
What is x = 9.
Jayne is on page 54 of a book. At a rate of 300 words per minute, it will take her 2.8 hours to read 100 pages. If her book is 312 pages, how long will it take her to finish the rest of her book?
Round to the nearest hundredth of an hour.
What is 7.22 hours?
Conside the equation 5x + 20 = kx + 12.
Find the vlaue of k so that the solution to the equation is x=2.
What is k = 9.
Roco buys black ink for his printer in an XL cartridge size that contains 8.3mL of ink. He also buys cartridges of cyan, magenta and yellow ink which each contain 5.6 mL of ink. His black ink runs out after 85 days and his magenta ink runs out after 80 days.
Which ink color, black or magenta, is being used at a faster rate? How do you know?
The black ink because .097mL per day and the magenta uses .07mL per day.
Write an equation of a line that passes through point (-3,8) and (10,8).
What is y = 8.
In a pile of dimes and quarters, there are 5 fewer quarters than there are dimes. The total value of the pile of coins is $2.95. Write an equation that could be used to find the number of dimes in the pile, d.
.25(d-5) + .10d =2.95
Consider the equation 5x + 20 = kx +12 for the constant k.
Find the value of k so that the equation has no solution.
What is k =5.
Roco buys black ink for his printer in an XL cartridge size that contains 8.3mL of ink. He also buys cartridges of cyan, magenta and yellow ink which each contain 5.6 mL of ink. His black ink runs out after 85 days and his magenta ink runs out after 80 days.
Will there be a day when the black ink cartridge and the magenta ink cartridge have the same volume of ink left? Is so, when? If not, explain why not.
No because it take about 96 days for then to be at the same amount.
Write an equation in slope intercept form for a line that goes through (2, -9) and (5, -30)
What is y = -7x +5