The ratio of the number of cups of apple juice to lemon-lime soda is 6:1.
If there is a point on the graph at (1, 6), where the x-coordinate the number of cups of lemon-lime soda and y-coordinate is the number of cups of apple juice, you can deduce the ratio (6 cups of apple juice for 1 cup of lemon-lime soda).
As you imagine on the graph, this pattern continues, with 2 cups of lemon-lime soda for 12 cups of apple juice, that simplifies to 1 cup of lemon-lime soda for 6 cups of apple juice. Since the question asks for the ratio of apple juice to lemon-lime soda, you just reverse the values and get 6:1
The bacteria grow from 1,000 bacteria into 12,500 bacteria in 12 hours. The exponent function would be
:an= ao(1+r)^t12.500= 1,000(1+r)^121,000(12.5)= 1,000(1+r)^1212.5= (1+r)^121+r= 1.23427r= 0.23Number of bacteria after 20hr would be:an= ao(1+r)^tan= 1,000(1+0.23)^20an= 1,000(62.821 )an= 62,821
Answer:
2x + 3y = $54
Step-by-step explanation:
Standard Form ~ Ax + By = C
A and B in this case are just going to be numbers, they are just for substitution purposes.
Since x is fruit flavored candy and y is Chocolate, we can substituce the Fruit for A and Chocolate for B.
Now, we have 2x + 3y = C
The C is going to be the total cost. Therefore we have ~
2x + 3y = $54
Have a great day,
PumpkinSpice1♥
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Answer:
- 0 ≤ m ≤ 7
- 0.4541 cm/month; average rate of growth over last 4 months of study
Step-by-step explanation:
<u>Part A</u>:
The study was concluded after 7 months. The fish cannot be expected to maintain exponential growth for any significant period beyond the observation period. A reasonable domain is ...
0 ≤ m ≤ 7
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<u>Part B</u>:
The y-intercept is the value when m=0. It is the length of the fish at the start of the study.
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<u>Part C</u>:
The average rate of change on the interval [3, 7] is given by ...
(f(7) -f(3))/(7 -3) = (4(1.08^7) -4(1.08^3))/4 = 1.08^3·(1.08^4 -1)
≈ 0.4541 cm/month
This is the average growth rate of the fish in cm per month over the period from 3 months to 7 months.
1 hour = 60 min
0.5 hours = 60 * 0.5 = 30 min.
