A bottle of maple syrup in Wayne’s freezer needs to be warmed for breakfast. Sitting on the kitchen counter, the bottle temperat
2 answers:
It is given that the bottle temperature begins at the freezer temperature of –16° C. Thus, the initial temperature is –16° C.
Now, sitting on the kitchen counter, the bottle temperature will go up a steady 9.6° C every hour. We need to know how many hours will it take to reach 20° C.
Let us assume that it will take "" hours to reach the required temperature. Then the equation that will guide this system will be a linear one as shown below:
Adding 16 to both sides we get:
Dividing both sides by 9.6 we get:
hours
Thus it will take 3.75 hours (or 3 hours 45 minutes) for the bottle of maple syrup to reach a temperature of celsius.
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The linear equation in slope intercept form for population of Jose's town is y = 320x + 2400.
<u>Solution:</u>
Given, the population of Jose's town in 1995 was 2400 and the population in 2000 was 4000,
Let x represent the number of years since 1995.
We have to write a linear equation, in slope- intercept form, that represents this data.
Now, let the change in population per year be p.
Then, population in a year = population change per year number of years + population in 1995.
⇒population in a year = p x + population in 1995
⇒ population in a year = p x + 2400
Here we have an case that, population in 2000 is 4000
Then, number of years since 1995 = 5
So, 4000 = p 5 + 2400 ⇒ 5p = 4000 – 2400 ⇒ 5p = 1600 ⇒ p = 320
Then, our equation will be population in a year = 320x + 2400
Considering the population in a year as y ⇒ y = 320x + 2400.
Hence, the linear equation in slope intercept form is y = 320x + 2400.
<h2>Hello!</h2>
The answer is:
The correct option is the third option,
From the statement we know the function that models the population growth over the years (p(x)) but we have been told that there is an estimated loss that can be modeled by the function L(p), so in order to find which function represents the final function, we need to composite the function, which is the same that evaluate p(x) into the function L(p).
We are given:
and
So, the evaluationg p(x) into L(p), we have:
Hence, the correct option is:
The third option,
Have a nice day!