Answer: 1. C. 1,000 miles. 2. C. 1,000 miles. 3. C 4. D. 2 hours. 5. C. 250 feet
Explanation:
1. The type of function that best models the total membership in this situation is D. exponential function. This is because the annual increase in memberships is a constant percentage (5%) of the previous year's total membership, which is characteristic of exponential growth.
The approximate distance Nick will travel can be calculated as follows:
The average rate of speed is (55 + 65)/2 = 60 miles per hour.
The total time of travel is (17 + 18)/2 = 17.5 hours.
The approximate distance is therefore 60 miles per hour x 17.5 hours = 1,050 miles.
Therefore, the correct answer is C. 1,000 miles.
2.
The average speed of Nick's travel is (55 + 65) / 2 = 60 miles per hour. The average time taken for his travel is (17 + 18) / 2 = 17.5 hours. Thus, the distance he will travel is 60 miles per hour x 17.5 hours = 1050 miles. Therefore, the approximate distance Nick will travel is 1050 miles, and the correct answer is C. 1,000 miles.
3.
The total amount of data that can be transmitted in 120 minutes is:
60,000 bits per second x 60 seconds per minute x 120 minutes = 4,320,000,000 bits
To determine the number of images that can be downloaded, divide the total amount of data that can be transmitted by the amount of data in each image:
4,320,000,000 bits / 12,000,000 bits per image = 360 images
Therefore, the reasonable estimate for the number of images that can be downloaded during a scheduled transmission of 120 minutes is C. The engineer can download 36 images in 120 minutes.
4.
ince her brothers work at the same rate as her, together they can do the job at a rate of 1/6 + 1/6 + 1/6 = 1/2 of the job per hour.
Using the formula:
time = work ÷ rate
We can find how long the job will take with all three of them working together:
time = 1 ÷ (1/2) = 2 hours
Therefore, a reasonable estimate for how long the job should take with Erica's two brothers helping is D. 2 hours.
5.
The Empire State Building has 102 floors, so the distance between the two observation decks can be estimated by subtracting the height of 85 stories from the height of 102 stories. The range of height for a story is given as just under 12 feet to just under 14 feet. Taking the average of this range, we get an estimate of 13 feet for a story height. Thus, the height between the two observation decks can be estimated as (102-85) x 13 feet = 221 feet. Therefore, the closest estimate for the distance between the two observation decks is 250 feet (Option C).