1.7 Mathematical Modeling

Susan received a 2.5% salary increase.  Her salary after the raise was $98,450.  What was her salary before the raise?

• $95,989
• $96,049
• $97,350
• $94,785

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

Sam is considering two job offers.  One offers a base salary of $42,000, plus 3% of gross sales.  The other offers a base salary of $33,000 plus 8% of gross sales.  How much would Sam need to make in gross sales for the offers to be the same?

• $220,000
• $150,000
• $180,000
• $200,000

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.B.3

Frank received a bonus at work of $15,000.  He wants to receive a 1 year interest payment of $1250.  He is considering two investment options.  One pays a 6.4% annual interest and the other a 9.5% annual interest.  How much should he invest in each option to guarantee his return.

• $5645 @ 9.5%
  $9355 @ 6.4%
• $3450 @ 9.5%
  $11,550 @ 6.4%
• $5645 @ 6.4%
  $9355 @ 9.5%
• $3450 @ 6.4%
  $11,550 @ 9.5%

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.SSE.A.1

Jared invests $20,000, part at 4.5% annual interest and the balance at 7.3% annual interest.  How much is invested at each rate if Jared receives a 1-year interest payment of $1125?

• $11,964 @ 4.5%
  $8,036 @ 7.3%
• $15,246 @ 4.5%
  $4,754 @ 7.3%
• $11,964 @ 7.3%
  $8,036 @ 4.5%
• $15,246 @ 7.3%
  $4,754 @ 4.5%

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

CCSS.HSA.REI.C.6

CCSS.HSA.SSE.A.1

A restaurant sells pizza for the prices in the data table. Calculate the linear regression equation of the data.

• y = 1.5x + 12

• y = 12x + 1.5

• y = 0.67x - 8

• y = -8x + 0.67

Tags

CCSS.HSA.CED.A.2

CCSS.HSF.IF.B.4

CCSS.HSF.LE.A.2

A person travels by car.  They record their miles driven in a data table.  Calculate the linear regression equation of this data.

• y = 61.93x - 1.79
• y = -1.79x + 61.93
• y = 0.016x + 0.03
• y = 0.03x + 0.016

Tags

CCSS.HSA.CED.A.2

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.6

CCSS.HSF.LE.A.2

CCSS.HSS.ID.C.7

The annual profits for a company are given in the following table, where x represents the number of years since 1992, and y represents the profit in thousands of dollars. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest hundredth. Using this equation, estimate the year in which the profits would reach 378 thousand dollars.

• 2029

• 2014

• 2003

• 8753

Which scatter plot shows no relationship?

• Graph A
• Graph B
• Graph C
• Graph D

Tags

CCSS.HSS.ID.B.6

Using your linear regression, what is y when x is 30?

• 61.59
• 52.46
• 57.94
• 59.76

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSS.ID.C.7

The chart below tracts starting salaries for health care workers since the year 2000. Using linear regression, find the equation of best fit. Round decimals to 3 places.

• y = 839.721x + 27541.812
• y = 27541.812x - 839.721
• y = 27541.812x + 839.721
• y = 839.721x - 27541.812

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.2

CCSS.HSS.ID.C.7