SOLUTION: People living in Fairbanks drink 3600 cups of hot chocolate per day when the temperature is 0 degrees celsius. For each rise of 1 degrees celsius, their consumption decreases by 30
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Question 677031: People living in Fairbanks drink 3600 cups of hot chocolate per day when the temperature is 0 degrees celsius. For each rise of 1 degrees celsius, their consumption decreases by 30 cups per day.
a. What expression can be used to represent the number of cups of hot chocolate drunk per day as a function of degrees celsius?
b. How many cups would they drink at 5 degrees celsius?
c. How many cups would they drink at 25 degrees celsius?
d. Write an equation to determine the temperature if 3000 cups of hot chocolate were consumed in a day.
e. Solve the equation to find the temperature if 3000 cups of hot chocolate were consumed in a day.
f. Is this answer reasonable? Explain.
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
We need to name/define variables:
= number of cups of hot chocolate consumed in a day in Fairbanks.
= temperature in degrees Celsius
"For each rise of 1 degrees celsius, their consumption decreases by 30 cups per day."
That tells you that is a linear function of , so we should be able to write it as
with some constants for slope, , and y-intercept, .
It also tells you that the slope is .
"People living in Fairbanks drink 3600 cups of hot chocolate per day when the temperature is 0 degrees celsius."
That gives you the value of when , which is the y-intercept,
a. The expression that represents the number of cups of hot chocolate drunk per day as a function of degrees celsius is
or the equivalent
b. How many cups would they drink at 5 degrees celsius?
--> --> -->
c. How many cups would they drink at 25 degrees celsius?
--> --> -->
d. Write an equation to determine the temperature if 3000 cups of hot chocolate were consumed in a day.
-->
e. Solve the equation to find the temperature if 3000 cups of hot chocolate were consumed in a day.
--> --> --> --> -->
f. Is this answer reasonable? Explain.
It is very .
At they drink cups.
As the temperature increases, hot chocolate consumption decreases.
At they drink less hot chocolate: cups.
Since is even warmer,
they should drink even less at ,
but not as little as the cups they drink on those very warm days.
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