The function C(l) = 3l+ 2
is the cost to order a lip gloss l
,including the flat rate shipping charge. Which of the following represents the cost of purchasing 5 lip glosses? (1 point)
Responses
C(5)= 5
C(l) = 5
l = 5
C(5)
= 3(5) + 2
= 15 + 2
= 17
So, the cost of purchasing 5 lip glosses is 17.
Given that C(l) = 3l + 2
represents the cost of purchasing l
lip glosses, including the flat rate shipping charge, what is the cost per lip gloss? (1 point)
Responses
$3
$5
C(l)
$2
The cost per lip gloss can be found by dividing the total cost (C(l)) by the number of lip glosses (l). Therefore, the cost per lip gloss is:
C(l) / l = (3l + 2) / l
So, the cost per lip gloss is C(l) / l. The correct response is C(l).
Given the function C(l) = 3l + 2
represents the cost to purchase l
lip glosses, including the flat rate shipping cost, does finding C(−2)
make sense in the context of this function? (1 point)
Responses
No, it does not make sense because one cannot purchase -2 lip glosses.
No, it does not make sense because cost cannot be -2.
Yes, it makes sense because that is the cost of shipping.
Yes, it makes sense because only irrational values are impossible.
The function C(l) represents the cost of purchasing l lip glosses, including the flat rate shipping cost. In the context of this function, finding C(-2) does not make sense.
The response "No, it does not make sense because one cannot purchase -2 lip glosses" is the correct answer. It does not make sense to purchase a negative quantity of lip glosses.
The other responses are incorrect. The response "No, it does not make sense because cost cannot be -2" is incorrect because the function output (the cost) can be any value, including negative values. The response "Yes, it makes sense because that is the cost of shipping" is incorrect because the function C(l) already includes the flat rate shipping cost, so C(-2) would not specifically represent just the shipping cost. The response "Yes, it makes sense because only irrational values are impossible" is incorrect because the discussion is about negative values, not irrational values.
If P(e)
gives the profit from selling e number of eggs, which of the following is the most appropriate domain for the function? (1 point)
Responses
Positive integers
Integers
Positive irrational numbers
Numbers with 2 decimal places to represent money
The most appropriate domain for the function P(e) would depend on the context and limitations of selling eggs. However, based on typical scenarios, the most appropriate domain for the function P(e) would be positive integers.
The correct response is "Positive integers."
he function B(t) = 300(2)t
gives the number of bacteria after t
hours. How many bacteria exist after 5 hours? (1 point)
Responses
3000
t= 5
9600
7.776 ×10^13
To find the number of bacteria after 5 hours using the function B(t) = 300(2)^t, we substitute t = 5 into the equation:
B(5) = 300(2)^5
B(5) = 300(32)
B(5) = 9600
So, the number of bacteria after 5 hours is 9600. The correct response is 9600.