Step-by-step explanation: Given that the graph shows the side view of a water slide with dimensions in feet.
We are to find the rate of change between the points (0, ?) and (?, 40).
From the graph, we note that
the y co-ordinate for the x co-ordinate 0 is 80 and the x co-ordinate for the y co-ordinate 40 is 5.
So, the given two points are (0, 80) and (5, 40).
The rate of change for a function f(x) between the points (a, b) and (c, d) is given by
Therefore, the rate of change for the given function between the points (0, 80) and (5, 40) is
Thus, the required rate of change is -8.
Answer: 7.8
Step-by-step explanation: If we want to find the amount that was in the pitcher before then we subtract 2.6 from 10.4 to find the original amount because if the pitcher were to contain an amount that only adds up to 10.4 before we add 2.6 then the number that adds with 2.6 to equal 10.4 is our answer
hence our answer 7.8
Answer:
<em>Interval notation: [0, 2.236]</em>
<em>Set Builder notation: </em>
Step-by-step explanation:
Given that:
Equation of height of the ball dropped from a height of 10 foot, as:
Where 
is the time since the ball was dropped.
To find:
The domain of the function in Interval and set builder notation.
Solution:
<em>Domain of a function </em>is defined as the set of valid input values that can be given to the function for which the function is defined.
Here, input is time.
We can not have negative values for time.
Therefore, starting value for time will be <em>0 seconds</em>.
And the value of height can not be lesser than that of 0 ft.
Maximum value for time can be 2.236 seconds.
Therefore the domain is:
<em>Interval notation: [0, 2.236]</em>
<em>Set Builder notation: </em>
Using proportions, the selling prices are given as follows:
1. $46.92.
2. $15.29.
3. $17.16.
4. $20,280.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
To find the selling prices, we have to multiply the original prices by either 1.02(2% sales tax) or 1.04(4% sales tax), hence they are given as follows:
- 2. 14.99 x 1.02 = $15.29.
- 3. 16.50 x 1.04 = $17.16.
- 4. 19500 x 1.04 = $20,280.
More can be learned about proportions at brainly.com/question/24372153
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Answer:
The initial amount a = 1
The growth or decay factor = 0.01025
Step-by-step explanation:
The exponential function.
y = 0.01025^x
The initial amount a = 1
The growth or decay factor = 0.01025
The exponential equation can be rewritten as Y = 1(0.01025)^x
