Writing Equations 1
Writing Equations 2
Scatter Plots & Lines of Fit
Analyzing Lines of Fit
Arithmetic Sequences
100

Write an equation of the line with the given slope and y-intercept.

slope: -4

y intercept: -2

y=-4x-2 or y=-4x+(-2)

100

What points can be written from the given function values?

f(5)=6

f(19)=-7

(5, 6) and (19, -7)

100

What type of correlation is it if as x increases, y also increases?

positive

100

Use residuals to tell if the model is a good fit for the data. 

no, the residual points form a nonlinear pattern

100

Write the next three terms of the arithmetic sequence.

First term: 8

Common difference: 6


8, 14, 20, 26

200

Write an equation in slope-intercept form of the line that passes through the given points.

(4,-3) (2,-9)

y=-3x-15

200

You are writing an equation of the line that passes through two points that are not on the y-axis. What form would you use to write this equation? Name it and write the equation.

point slope form; 

200

What is the hard drive capacity of the $1200 laptop?

12 GB

200
Tell whether there is a correlation likely in the situation. If so, tell whether there is a causal relationship. Explain. 

-ice cream sales and sales of air conditioners

positive correlation but not causal because buying ice cream doesn't cause people to buy air conditioners

200

Write an equation for the nth term of the arithmetic sequence. Then find a10.

-9, -1, 7, 15,... 

an=8n-17

a10=63 

300

Determine which of the lines, if any, are parallel or perpendicular. Explain.

Line a: y=-4x+7

Line b: x=4y+2

Line c: -4y+x=3



Parallel Lines: B & C

Perpendicular Lines: A & B also A & C

300

You pay a processing fee and a daily fee to rent a beach house. You pay $102 per day and have an initial processing fee of $42. Which is the slope and which is the y-intercept? Explain.

$102 is the slope because it is a rate and $42 is the y-intercept because it is the initial price at 0 days

300

Make a scatter plot of the data and tell what kind of correlation it has, if any.


negative correlation

300

Tell whether there is a correlation likely in the situation. If so, tell whether there is a causal relationship. Explain. 

-the weight of a dog and the length of its tail

might be a positive correlation but no causal relationship because the weight of a dog does not determine the length of its tail.  
300

Does the following graph represent an arithmetic sequence? Explain


no

400

Write an equation of a line in slope-intercept form that passes through the point (6,-1) and is perpendicular to a line that has a slope of 3.

y=-1/3x+1

400

Write two different equations of lines that are parallel to each other.

Any two equations with the same slope

400

The table shows the total earnings y (in dollars) of a food sever who works x hours.


Write an equation that models the server's earnings as a function of the number of hours he works. 

Sample answer: y=20x

400

 The table shows the lengths x and costs y of several sailboats. The equation that models this data is y=4.9x-38.


a) approximate the cost of a sailboat that is 20 feet long.

b) predict the length of a sailboat that costs 147 thousand dollars

a) $60,000

b) about 38 ft

400

Write an equation for the nth term of the arithmetic sequence. Then find a10.

-7/3, -5/3, -1, -1/3, ...

an=2/3n-3

a10=11/3

500

Write a linear function f with the following values



500

Write two separate equations of lines that are perpendicular to each other. 

any with opposite reciprocal slopes

500

Your friend says that the data in the table show a negative correlation because the y is decreasing. Is your friend correct? Explain.


No, the x's are also decreasing so its a positive correlation.

500
If two data sets have no correlation can you write a linear equation to model the data? Explain. 

no, if there is no correlation there is no pattern which means the data is not linear

500

The temperature of some water increases 2 F° every hour after an initial temperature of 50 F. ° Use an equation for the nth term of the arithmetic sequence to find a6, the temperature of the water in °F after 6 hours.

an=2n+48

a6=60

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