Answer:
Step-by-step explanation:
The x value represents the time and y value represents the distance
<u>Given</u>:
The graph shows the speed of a ball in free fall for 10 seconds.
We need to determine the constant of proportionality for the given graph.
<u>Constant of proportionality:</u>
The constant of proportionality can be determined using the formula,

Where k is the constant of proportionality.
Let us consider any of the coordinate from the graph and substitute in the formula.
Consider the coordinate (4,40) and substitute in the above formula.
Thus, we have;


Thus, the constant of proportionality is 10 meters per second squared.
If 9 of the sparrows is 45% of the birds in the backyard, 9/x = 45/100.
Cross multiply to get 9 * 100 = 45x; simplified is 900 = 45x or 20.
This means that there are 20 birds in the backyard. You can check this by dividing 9/20 which equals 45%
The stereo system costs $256.
Step-by-step explanation:
Given:
Cost of the stereo system = $320.
The discount Zenaida received = 20%.
To Find:
Cost of the stereo system after the discount=?
Solution:
Step1: Finding the discount amount:
Discount percentage =20
Discount amount = original cost × discount percent
Substituting the values,





Step 2: Removing the discounted amount from the original price
Final cost of the stereo system =original cost of the stereo system –discount amount
Substituting the values we get,
Final cost=320-64
Final cost=256
Result:
Thus the cost of the stereo system after discount is $256