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PROP/CONSTANT


A factory makes 36 cookies in 12 mins. How many cookies can they make in ONE minute?


6 cookies

4 cookies

3 cookies

2. A bathtub leaks 1/2 cup of water every 1/4 minute. How many cups of water leak every minute?


3 1/2 cups

1 cup

2 cups

3. 5 glazed donut has 750 calories altogether. How many calories are in TWO donuts?

300 calories

150 calories

450 calories

4. A cell phone company charges $70 for 2 months of service, and $210 for 6 months of service. What is the constant rate (per month) for the service?


$40 per month

$35 per month

$55 per month

5. Which is the formula to find the constant of a chart?


k = y/x

y = kx

x = k/y

6. A chart is not considered proportional if...


the chart has too many large numbers

the x values are bigger than the y values

if the y values are bigger than the x values

if there is no constant (k)

Use the chart below for questions 7 and 8


7. Is the chart above proportional?

Yes

No

8. Determine the constant(k) of the chart.


k = .75

k = 1.75

k = 2.15

Doesn't have a constant

Use the chart below to answer questions 9 - 12.


9. Is the chart above proportional?

8 points

Yes

No

10. Determine the constant(k) of the chart?

10 points

k = 5

k = 4

k = .25

11. Which formula satisfies an equation for Y.


y = 4x

y = .25x

y = 5x

12. Find the value of y when x is 49.


12.25

196

80

18

Respuesta :

Answer:

1. 3 cookies

2. 2 cups

3. 300 calories

4. $35 per month

5. k = y/x

6. If there is no constant (k)

Step-by-step explanation:

1. The number of cookies the factory makes in one minute = (The number of cookies the factory makes in 12 minutes)/(12 minutes)

∴ The number of cookies the factory makes in one minute = 36 cookies/(12 minutes) = 3 cookies/minute

The correct answer is 3 cookies

2. The number of cups of water that leak every minute = (The number of cups of water that leak in 1/4 minute) × (The number of 1/4 minute per minute)

The number of cups of water that leak every minute = 1/2 cup per 1/4 minute × 4_1/4 minute per minute

The number of cups of water that leak every minute = 1/2  × 4 = 2

The number of cups of water that leak every minute = 2 cups

3. 5 glazed donuts contains 750 calories

∴ 1 glazed donuts contains 750/5 = 150 calories

2 = 2 × 1 glazed donuts will contain 2 × 150 = 300 calories

4. The charge of the cell phone company for 2 months = $70

The charge of the cell phone company for 6 months = $210

The constant rate per month = The rate of change of the cell phones companys charges

∴ The constant rate per month = (210 - 70)/(6 - 2) = 140/4 = 35

The constant rate (per month) for the service = $35 per month

5. The formula to find the constant of a chart, k = y/x

6. A chart is not considered proportional if there is no constant (k)

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