Unit 3 Lesson 5 Slopes Don't Have to Be Positive

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Clara has an account to pay for her school lunches. Each time Clara buys lunch, $3.00 is subtracted from the amount available in her account. This graph shows the amount of money available in her account, y, after buying x lunches.
How much money was initially in Clara’s account?

$0

$10

$30

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Complete the table.

54

30

24

not enough info

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Choose the equations that represents the amount of money remaining in Clara’s account, y, after buying x lunches.

y = 3x - 30

y = 30 + 3x

y = 30 - 3x

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After how many lunches will Clara’s account run out of money? Use y = 30 - 3x to solve.

30

20

10

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Mai’s family is planning a trip and staying at a hotel. Mai estimates their average speed and graphed her expected progress on the trip. The graph shows the remaining distance d in miles to the hotel after driving h hours. How far does Mai’s family live from the hotel?

7 miles

350 miles

not enough information

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Select an equation that describes the relationship between d and h.

y = 350 - 50 x; The slope of the line is -50 and the y-intercept is 350.

y = 350 + 50 x; The slope of the line is 50 and the y-intercept is 350.

y = 350 - 5 x; The slope of the line is -5 and the y-intercept is 350.

y = 50 x - 350; The slope of the line is -50 and the y-intercept is 350.

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Approximately how long will it take Mai’s family to arrive at the hotel?

2 hours

4 hours

7 hours

8 hours

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Which graph has a horizontal intercept of (-4, 0)?

null

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$\frac{1}{5}$ + $\frac{3}{5}$ =

$\frac{4}{5}$

$\frac{4}{10}$

$\frac{2}{5}$

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$\frac{1}{2}$ + $\frac{3}{7}$=

$\frac{4}{9}$

$\frac{1}{7}$

$\frac{4}{14}$

$\frac{13}{14}$

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positive slope

negative slope

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positive slope

negative slope

1

negative slope

positive slope

1

positive slope

negative slope

Unit 3 Lesson 5 Slopes Don't Have to Be Positive

Clara has an account to pay for her school lunches. Each time Clara buys lunch, $3.00 is subtracted from the amount available in her account. This graph shows the amount of money available in her account, y, after buying x lunches.How much money was initially in Clara’s account?

Complete the table.

Choose the equations that represents the amount of money remaining in Clara’s account, y, after buying x lunches.

After how many lunches will Clara’s account run out of money? Use y = 30 - 3x to solve.

Mai’s family is planning a trip and staying at a hotel. Mai estimates their average speed and graphed her expected progress on the trip. The graph shows the remaining distance d in miles to the hotel after driving h hours. How far does Mai’s family live from the hotel?

Select an equation that describes the relationship between d and h.

Approximately how long will it take Mai’s family to arrive at the hotel?

Which graph has a horizontal intercept of (-4, 0)?

$\frac{1}{5}$ + $\frac{3}{5}$ =

$\frac{1}{2}$ + $\frac{3}{7}$=

Clara has an account to pay for her school lunches. Each time Clara buys lunch, $3.00 is subtracted from the amount available in her account. This graph shows the amount of money available in her account, y, after buying x lunches.How much money was initially in Clara’s account?

Complete the table.

Choose the equations that represents the amount of money remaining in Clara’s account, y, after buying x lunches.

After how many lunches will Clara’s account run out of money? Use y = 30 - 3x to solve.

Mai’s family is planning a trip and staying at a hotel. Mai estimates their average speed and graphed her expected progress on the trip. The graph shows the remaining distance d in miles to the hotel after driving h hours. How far does Mai’s family live from the hotel?

Select an equation that describes the relationship between d and h.

Approximately how long will it take Mai’s family to arrive at the hotel?

Which graph has a horizontal intercept of (-4, 0)?

$\frac{1}{5}$ + $\frac{3}{5}$ =

$\frac{1}{2}$ + $\frac{3}{7}$=

Clara has an account to pay for her school lunches. Each time Clara buys lunch, $3.00 is subtracted from the amount available in her account. This graph shows the amount of money available in her account, y, after buying x lunches.
How much money was initially in Clara’s account?

Clara has an account to pay for her school lunches. Each time Clara buys lunch, $3.00 is subtracted from the amount available in her account. This graph shows the amount of money available in her account, y, after buying x lunches.
How much money was initially in Clara’s account?