Linear Equations Context Review

At the beginning of the summer, Jenna had saved $141.  To earn money of the summer, she is working part time at the local community center.  She will earn $32 per day of work.  If x represents the number of days she works, which of the following equations represents how much money she will have, including her savings?

• y = 141-32x
• y = x + 141
• y = 32x + 141
• y = 141x + 32

Tags

CCSS.6.EE.C.9

Stephanie planted a home garden.  She planted 2 rows of tomatoes with 4 tomato plants in each row.  She also planted squash in rows of 6 plants each.  If x represents the number of rows of squash she planted, which of the following equations can be used to find the total number of plants Stephanie planted in her home garden?

• y = 6x + 6
• y = 8x + 6
• y = 7x + 6
• y = 6x + 8

Tags

CCSS.6.EE.C.9

Kiki wants to rent a bounce house for her daughter's party.  The cost, y, to rent the bounce house for the number of hours, x, is shown in the table.  The initial set up fee for the bounce house is which of the following?

• $65
• $55
• $130
• $185

Tags

CCSS.HSF.LE.B.5

Kiki wants to rent a bounce house for her daughter's party.  The cost, y, to rent the bounce house for the number of hours, x, is shown in the table.  The rate per hour for the bounce house is which of the following?

• $65
• $55
• $130
• $185

Tags

CCSS.HSF-LE.A.1B

The demand for a certain product is given by the equation y = 4,500 - 450p, where p is the price of the product and y represents the number of units in demand.  Interpret the slope in context.

• For each dollar the price increases, demand decreases by 450 units.
• For each dollar the price increases, demand increases by 450 units.
• For each dollar the price increases, demand decreases by 4.500 units.
• For each dollar the price decreases, demand decreases by 4.500 units.

Tags

CCSS.HSF.LE.B.5

CCSS.HSS.ID.C.7

On average, Matt's manufacturing company produces 130 units in 5 working days and 650 units in 25 working days.  In a linear model of this situation, which of the following statements applies?

• An additional day of production is associated with 26 units.
• An additional day of production is associated with 39 units.
• An additional day of production is associated with 7.8 units.
• An additional day of production is associated with 104 units.

Tags

CCSS.HSS.ID.C.7

CCSS.HSA.CED.A.2

A company developed the linear model to help budget annual expenses over time.  In the model, x represents the number of years after 2009, and y represents the expense budget in dollars. Interpret the y-intercept.
y = 189,785 + 37,896x

• The company's expense budget for 2009 was $37,896.
• The company's expense budget for 2008 was $189,785.
• The company's expense budget for 2009 was $189,785.
• The company's expense budget for 2008 was $37,896.

Tags

CCSS.8.EE.B.5

A restaurant investigated the correlation between the prices and the number of customers.  The linear model below represents this situation, where x is the average meal price (in dollars), and y is the number of daily customers.  Interpret the slope.
y = 437 - 18x

• The average price per meal is $18.
• The average number of daily customers is 18.
• If the average meal price decreases by a dollar, the number of daily customers decreases by 18.
• If the average meal price increases by $1, the number of daily customers decreases by 18.

Tags

CCSS.HSF.LE.B.5

A company is testing a product which is intended to make hair grow faster.  One of the test subjects started with a hair length of 8.2 inches.  After a year of using the product, the test subject's hair measured 18.4 inches.  If the growth rate was constant during the trial period, which of the following statements applies?

• An additional month of product use is associated with an additional 2.22 inches of growth.
• An additional 0.85 month of product use is associated with an additional inch of growth. 
• An additional month of product use is associated with an additional 0.85 inch of growth.
• An additional 2.22 months of product use is associated with an additional inch of growth.

Tags

CCSS.HSF-LE.A.1B