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Function Vocab
Functions In Real Life
Writing Functions
More Word Problems
Is it a Function?
100

What is slope-intercept form? (HINT-equation of a line)

y = mx + b

100

Yabdiel has already taken 2 pictures at home, and he expects to take 7 pictures during every day of vacation. Write an equation that shows the relationship between the days of vacation d and the total number of pictures taken p

p = 7d + 2

100

Write an equation with a slope of 4 and a y-intercept of 5

y= 4x + 5

100

For babysitting,  Allie charges a flat fee of $3, plus $5 per hour. Write an equation for the cost, C, after h hours of babysitting.

c = 3 + 5h

100
Is it a function? {(2, 3), (4, 5), ( -2, 6)}
What is YES because x does not repeat?
200
True or false: Slope and rate of change are the same thing

True

200

Cesar has already run 4 miles on his own, and he expects to run 3 miles during each track practice. Write an equation that shows the relationship between the practices p and the distance d.

d = 3p + 4

200

Write an equation of a line with a slope of 1/2 and a y-intercept of -6

y = 1/2x - 6

200

Alicia has 4000 followers on TikTok and gains 250 followers every month. Write an equation that represents her total number of followers, y, after every month, x.

y = 4000 + 250x

200
Using the vertical line test does the graph of the points (1,3) and (1,5) represent a function?
What is False, the points fail the vertical line test
300

True or false: For a function, every input has exactly one output

True

300

Famous Lunch charges $4 for a drink and $2 for every hotdog. Write an equation that represents the cost, c, after buying h amount of hotdogs. 

c = 4 + 2h
300

What is the slope and y-intercept of the equation y = 3x - 1

m = 3; b = (0, -1)

300

Jacob went to the corner store to buy his brother a birthday present. He bought a video game for $12.99 and some balloons for $0.50 each. Write an equation that shows the total cost, y, of his purchase after x balloons. Which number represents the constant rate of change?

y = 0.50x + 12.99; m = 0.50

300
Is it a function?
x y
2 4
1 5
2 6
What is NO because x repeats?
400
What is the y-intercept?

"b," the coordinate where your line crosses the y axis

400

UPS charges $7 for the first pound, and $0.20 for each additional pound. FedEx charges $5 for the first pound and $0.30 for each additional pound. How many pounds, p, will it take for UPS and FedEx to cost the same?

7 + 0.20x = 5 + 0.30x;  x = $20 

400

What is the slope and y-intercept of the equation y = 6

m = 0; b = (0, 6)

400

Suppose that the water level of a river is 34 feet and that it is receding at a rate of 0.5 feet per day. Write an equation for the water level, l, after d days. In how many days will the water level be 26 feet?

l = 34 - 0.5d; d = 16 days

400
Is it a function?
What is YES because it passes the Vertical Line Test?
500

After 3 hours of work, Malachi earned $18. How much did he earn per hour? Write an equation that represents the amount of money he earned, y, after "x" hours.

$6 per hour; y = 6x

500

Bill weighs 120 pounds and is gaining ten pounds each month. Phil weighs 150 pounds and is gaining 4 pounds each month. How many months, m, will it take for Bill to weigh the same as Phil?

120 + 10x = 150 + 4x;   x = 5 months

500

Can you write three different functions with a slope of 5?

Answers will vary. y = 5x  + 1, y = 5x - 6, y = 5x

500

The table shows the temperature of a fish tank during an experiment. Write the appropriate linear equation for the given situation and use the equation to find temperature at the 7th hour.

y = -2x + 82; After 7 days, the temperature is 68 degrees

500
Is it a function?
What is NO because it does not pass the Vertical Line Test?