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)