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Answer :
Answer:
In step 1 did Quincy make a mistake
Step-by-step explanation:
Proportions states that two ratios or fractions are equal.
As per the statement:
Shadow of the tree = 12 ft
Shadow of Quincy = 3 ft
Height of the Quincy = 5 ft tall
let x be the height of the tree.
By definition of proportions;
[tex]\frac{\text{Height of the tree}}{\text{Height of the Quincy}}=\frac{\text{Shadow of the tree}}{\text{Shadow of the Quincy}}[/tex]
then;
[tex]\frac{x}{5} = \frac{12}{3}[/tex]
By cross multiply we have;
[tex]3x = 60[/tex]
Divide both sides by 3 we have;
x = 20 ft
Since, he made mistake in step 1.
The following correct steps are:
Step 1:
Set up a proportion
[tex]\frac{x}{5} = \frac{12}{3}[/tex]
Step 2:
Cross multiply
[tex]3x = 12 \times 5[/tex]
Step 3:
Simplify:
[tex]3x = 60[/tex]
Step 4:
Solve for x:
x = 20 ft
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Rewritten by : Barada
Quincy made a mistake in Step 1. The correct proportion is actually
[tex]\frac{x}{12}[/tex] = [tex]\frac{5}{3}[/tex] .
