A shop has determined that the number of bottles of water they sell on a summer day is a function of the day’s high temperature,
and is approximately given by () = 5 + 12, where is the day’s high temperature, and 80 ≤ ≤ 110. Suppose that the predicted high temperatures for the next 7 days are given in the table below.
a) Express the high temperature as a function of High temperature, (degrees F)
a) Express the high temperature as a function of High temperature, (degrees F)
1 answer:
Answer:
Where T is the hight temperature and t is the day
Explanation:
The table shows that every day the<em> High temperature, T (degrees F) </em>increases 1 unit.
Then, this is a linear function with slope = 1ºF / day.
You can use the point-slope equation to determine the <em>function of the high temperature:</em>
- Point-slope equation:
- Choose any point from the table and m = 1. I will use the first point (1,95)
- m = 1
- x₁ = 1
- y₁ = 95
Substitute:
Make the variables y = T, and x = t:
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Answer:
Step-by-step explanation:
<h2>Hello!</h2>
The answer is:
The interval notation will be: (-∞,-1.59) and (-4.41,∞+)
<h2>Why?</h2>To solve the expression, we need to perform the following steps:
- Find the roots or zeroes of the expression:
Using the quadratic equation, we have:
We are given the quadratic expression:
Where,
Then, substituting and calculating we have:
- Inequality interpretation:
Now that we already know the roots of the quadratic expression, and we can see that the parabola open upwards (positive quadratic coefficient), we can conclude that the function is less than 0 between the numbers -4.41. and -1.59
The interval notation will be:and (-∞,-1.59) and (-4.41,∞+)
Have a nice day!
Note: I have attached a picture for better understanding.