Question

(REPOST BC I RLY NEED THE ANSWER )

The 96th annual hot dog eating contest begins at noon. you need to eat 208 hot dogs in 10 minutes to break last year's record. your best friend got caught in traffic and arrives halfway through the event
A: how many hot dogs have you consumed?

B: assuming you eat at the average rate needed, after the arrival of your best friend, how many total hot dogs will you consume in one minute? two minutes? three minutes?

C: identify and define the independent and dependent variables with their units of measure or this situation.

E:Which equation can be used to calculate the number of hot dogs consumed, given the time in minutes since 12:05 P.M.?

F:How long after 12:05 P.M. will it take you to consume 187 hot dogs?

G:When would you have consumed a total of 83 hot dogs?


When solving the equation, t will equal ___ which means I will have consumed 83 hot dogs at __ P.M.

Answer 1

Before the arrival of your friend, you would have consumed 104 hot dogs. After the arrival of your friend, you consume approximately 21 hot dogs in one minute, 42 hot dogs in two minutes, and 62 hot dogs in three minutes. The equation to calculate the number of hot dogs consumed is given, and it will take you 3 minutes to consume 187 hot dogs after 12:05 P.M.

Step-by-step explanation:

To find the number of hot dogs consumed, we need to calculate the time needed before the arrival of the best friend. If the contest starts at noon and the best friend arrives halfway through the event, that means they arrive 5 minutes after the start time. Since the contest is 10 minutes long, you would have consumed 208 / 2 = 104 hot dogs before the arrival of your friend.

After the arrival of your friend:

• In one minute, you consume 208 / 10 = 20.8 hot dogs (rounded to the nearest whole number, which is 21 hot dogs).
• In two minutes, you consume 2 * 20.8 = 41.6 hot dogs (rounded to the nearest whole number, which is 42 hot dogs).
• In three minutes, you consume 3 * 20.8 = 62.4 hot dogs (rounded to the nearest whole number, which is 62 hot dogs).

The independent variable in this situation is time in minutes since 12:05 P.M., and the dependent variable is the number of hot dogs consumed. The units of measure for time are minutes, and the units for the number of hot dogs consumed are hot dogs.

The equation that can be used to calculate the number of hot dogs consumed, given the time in minutes since 12:05 P.M., is: hot dogs consumed = (time * rate) + hot dogs before arrival. In this case, the rate is 20.8 hot dogs per minute, and the hot dogs before arrival is 104.

To find how long after 12:05 P.M. it will take to consume 187 hot dogs, we can rearrange the equation and solve for time: time = (hot dogs - hot dogs before arrival) / rate. Plugging in the values, we get time = (187 - 104) / 20.8 = 3 minutes. So it will take you 3 minutes after 12:05 P.M. to consume 187 hot dogs.

To find when you would have consumed a total of 83 hot dogs, you can rearrange the equation and solve for time: time = (hot dogs - hot dogs before arrival) / rate. Plugging in the values, we get time = (83 - 104) / 20.8 = -1.0104 minutes. Since time cannot be negative, it means you have not consumed 83 hot dogs yet.