A waiter brings a hot bowl of soup to you in a restaurant and says “enjoy it while it’s warm.” The temperature of the bowl of soup, in degrees Fahrenheit, is F(m)= 76 + 54e ^-0.162m, where m is the time, measured in minutes, since it was brought to the table. The graph of this model is shown below in a picture.
Questions below.
Not required to answer every question.

Q1: What was the temperature of the soup when it was first brought to you?

Q2: What is the room temperature?

Q3: What is the temperature of the soup after 7 minutes?

Q4: If the perfect temperature of the soup is 85 degrees Fahrenheit, how many minutes does this model predict it will take to cool down to the perfect temperature?

step-by-step explanation:

it's is b

the function makes a strait line horizontally with no x intercept but a y intercept at 9.

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."

on monday rodney ate 1/4th of the sandwich = 3/12

on tuesday he ate 1/3rd of the sandwich = 4/12

therefore in total he has eaten = 3/12 + 4/12 = 7/12

thus we can say that he has eaten 7/12 of the sandwich on monday and tuesday alltogether.

happy to

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