In algebra, we often study relationships where a change to one variable causes change
1 answer:
A familiar situation is: <em><u>cost </u></em><em><u>of books you pay for versus the </u></em><em><u>quantity </u></em><em><u>of books bought.</u></em>
Cost of books ($) and quantity of books are directly proportionally related in the situation.
The graph will look like the graph in the <em>attachment </em>below.
A quantity (dependent variable) will change constantly in relation to another quantity (independent variable) if the relation is a proportional relationship.
- A familiar situation for example can be the cost you pay for books will be directly proportional or dependent on the number of books you bought.
That is:
- Number of books = independent variable
- Cost ($) = dependent variable
- A change in the number of books will cause a change in the cost you will pay for buying books.
This shows a direct proportional relationship between the two quantities.
On a straight line graph, the graph will be a proportional graph showing number of books on the x-axis against cost ($) you pay on the y-axis.
<em>Therefore:</em>
- A familiar situation is: <em><u>cost </u></em><em><u>of books you pay for versus the </u></em><em><u>quantity </u></em><em><u>of books bought.</u></em>
<em><u /></em>
- Cost of books ($) and quantity of books are directly proportionally related in the situation.
- The graph will look like the graph in the <em>attachment </em>below.
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Step-by-step explanation:
Initial number of sick wolves = W(0) = 10
At time t, no. of sick wolves = W(t)
Given that disease is spreading at a rate proportional to the product of the time elapsed and the square root of the number of sick wolves:
Mathematical model of above case is: