Which ordered pair is a solution of the system of equations? y= 3x + 1 y= 5x - 1 A (2,3) © (1,2) B (0, 1) D (1,4)
1 answer:
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Answer:
1. 4
Step-by-step explanation:
For question 1, you need to know the ratio between the recipe and the amount in question.
So if in the recipe, it says it uses 3/4 cup of diced ham, and the question uses 1 cup of diced ham, you can divide 1 by 3/4 to get 4/3. This is how many times bigger the amount used in the question than the recipe.
Then it asks for how many cups of potatoes, to do this, you look at the recipe and how many potatoes it uses: 3.5 cups
To solve it then, you just do 3.5 x 4/3 to get 4 cups of potatoes
There's your answer.
Answer:
Step-by-step explanation:
At the time t = 0, population of the town = 5000
Rate of population increase = 500 per year
Therefore, the equation that will represent the population will be
Where = Population after t years
= Initial population
t = Time in years
a). For double once the population will be 500×2 = 10000
By plugging in the values in the equation,
10000 = 5000 + 500t
500t = 10000 - 5000
500t = 5000
t =
t = 10 years
For Double twice,
Population will be = 10000×2 = 20000
Now we plug in the values in the equation again
20000 = 5000 + 500t
500t = 20000 - 5000
500t = 15000
t =
t = 30 years
For double thrice,
Population of the town = 20000×2 = 40000
Now we plug in the values in the equation,
40000 = 5000 + 500t
500t = 40000 - 5000
500t = 35000
t =
t = 70 years
b). If the population growth is 5%.
Then the growth will be exponential represented by
= Population after t years
= Initial population
t = time in years
For double once,
Population after t years = 10000
Take log on both the sides
tlog(1.05) = log2
t =
t = 14.20 years
For double twice,
Population after t years = 20000
Take log on both the sides
tlog(1.05) = log4
t =
t = 28.413 years
For double thrice
Population after t years = 40000
Take log on both the sides
tlog(1.05) = log8
t =
t = 42.620 years