The diagram shows the length and width of a cell phone, and the length of a larger
version of the same brand of cell phone.
2.6 in.
5.4 in.
6.21 in.
The lengths and widths of the two cell phones are proportional. What is the width,
in inches, of the larger version of the cell phone?
Answers
Answer:
The width of the bigger phone is 2.99 in
Explanation:
Given
[tex]W_1 = 2.6in[/tex]
[tex]L_1 = 5.4in[/tex]
[tex]L_2 = 6.21in[/tex]
See attachment for the measure of cell phones
Required
Determine the width of the bigger version (L2)
To do this, we make use of the following equivalent ratios.
[tex]L_1 : W_1 = L_2 : W_2[/tex]
This gives:
[tex]5.4\ in : 2.6\ in : 6.21\ in : W_2[/tex]
Express as fractions
[tex]\frac{5.4\ in}{2.6\ in} = \frac{6.21\ in}{W_2}[/tex]
[tex]\frac{5.4}{2.6} = \frac{6.21\ in}{W_2}[/tex]
Make W2 the subject
[tex]W_2 = \frac{6.21 * 2.6\ in}{5.4}[/tex]
[tex]W_2 = \frac{16.146\ in}{5.4}[/tex]
[tex]W_2 = 2.99\ in[/tex]
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Answer:
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Explanation:
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