In a scale model of a television, 1 centimeter represents 6 inches.Scale:1 cm 6 inAnswer the following.(a)The length of the real television is 48 inches. What is the length of the television in the scale model?centimeters(b)In the scale model, the height of the television is 9 centimeters. What is the height of the real television?inches
Question
In a scale model of a television, 1 centimeter represents 6 inches.Scale:1 cm 6 inAnswer the following.(a)The length of the real television is 48 inches. What is the length of the television in the scale model?centimeters(b)In the scale model, the height of the television is 9 centimeters. What is the height of the real television?inches
Solution
(a) To find the length of the television in the scale model, we need to set up a proportion using the scale given. The scale is 1 cm : 6 in. We know the real television is 48 inches. So, we set up the proportion as follows:
1 cm / 6 in = x cm / 48 in
To solve for x, we cross multiply and divide:
x = (1 cm * 48 in) / 6 in = 8 cm
So, the length of the television in the scale model is 8 centimeters.
(b) To find the height of the real television, we again set up a proportion using the scale given. This time, we know the height of the television in the scale model is 9 cm. So, we set up the proportion as follows:
1 cm / 6 in = 9 cm / y in
To solve for y, we cross multiply and divide:
y = (9 cm * 6 in) / 1 cm = 54 in
So, the height of the real television is 54 inches.
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