Using the algebraic equation and the graph given, number of extra days it will take Kathrine to make 20 necklaces than it will take her to make 20 bracelets is: 8 - 5 = 3 days.
What is an Algebraic Equation?
An algebraic equation, like the one given, models word problems, and can be used to find unknown numbers.
Thus:
y = 4× represents the rate Kathrine uses to make bracelets, where,
x = number of days
y = total number of bracelets made
Find the number of days (x) it takes to make 20 bracelets.
Substitute y = 20 into y = 4x:
20 = 4x
20/4 = x
x = 5 days.
Create an algebraic equation in the form of, y = kx, for the rate of necklace Kathrine makes using the graph.
Thus, using the point, (4, 10), substitute x = 4 and y = 10 into y = kx and find k.
10 = k(4)
10/4 = k
k = 2.5
The algebraic equation for rate of necklace made is: y = 2.5x
Number of days Kathrine will use to make 20 necklaces would be:
20 = 2.5x
20/2.5 = x
x = 8 days.
Number of days to make 20 bracelets = 5 days
Number of days to make 20 necklaces = 8 days
In summary, using the algebraic equation and the graph given, number of extra days it will take Kathrine to make 20 necklaces than it will take her to make 20 bracelets is: 8 - 5 = 3 days.
Learn more about algebraic equations on:
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