Final Exam Recap (focusing on Unit 3)

Solve for X

100

2x+6=12

x=3

200

4x+6=24-2x

x=3

300

1.5x+10=40

x=20

400

4(12+2x)=2(5x+8)

x=16

Rounding

100

0.683

0.68

200

12.12586

12.1259

300

604.29136

604.2914

400

y = 1.583293x+2.245820

y = 1.5833x+2.2458

Table

100

What's the equation of this table?

y = 15x+15

200

What is the equation for this table ?

y = 6x+14

300

What's the equation for this table?

y = 2x

400

What's the equation for this table? 

y = -2.5x+15.4

Linear Regression

100

Your car can travel 17 miles on a gallon of gas. Which is the independent variable?

Gallons of gas 

200

• The average lifespan of American women has been tracked, and the model for the data is y = 0.2t + 73, where t = 0 corresponds to 1960. Explain the meaning of the slope 
• Hint : t = years

For every year since 1960, the average woman's lifespan increases by 0.2 years. 

300

• The average lifespan of American women has been tracked, and the model for the data is y = 0.2t + 73, where t = 0 corresponds to 1960. Explain the y-intercept.

In1960, the average lifespan was 73 years. 

Systems of Equations

100

Jungle Java membership charges an initiation fee of 12 dollars, then a monthly membership fee of 6 dollars. Sky zone membership charges an initiation fee of 8 dollars, then a monthly membership fee of 9 dollars.  What are the equations for both memberships?

y = 6x+12

y  = 9x+8

200

Jungle Java membership charges an initiation fee of 12 dollars, then a monthly membership fee of 6 dollars. Sky zone membership charges an initiation fee of 8 dollars, then a monthly membership fee of 9 dollars.  Which of the two is the cheaper option after 2 months? 

Jungle Java 

300

You have 200 dollars. How many months will you be able to afford Skyzone membership before you run out of money?  Sky zone membership charges an initiation fee of 8 dollars, then a monthly membership fee of 9 dollars.

21 months or 1 year and 9 months