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Question
The picture is a scale drawing of a beanbag toss target that Morris made for his grandson’s birthday.
7.5 in.
6 in.
Scale
3 in. : 2 ft
Which equation can be used to determine x, the height of the beanbag toss target
Which equation can be used to determine x, the height of the beanbag toss target?
Responses
A
3 = x
2 7.5
3 = x 2 7.5
B 7.5x = 2(3)7.5 x = 2(3)
C
3 = 7.5
2 x
3 = 7.5 2 x
D 2x = 7.5(3)
In this scale drawing, the height of the beanbag toss target is represented by x inches. Since the scale is 3 inches : 2 feet, we can set up a proportion to find x:
3 inches = 2 feet
x inches = 7.5 inches
2 feet = x inches
Cross-multiplying, we get:
3 * x = 2 * 7.5
3x = 15
Dividing by 3 on both sides, we get:
x = 5
Therefore, the equation that can be used to determine x, the height of the beanbag toss target, is:
x = 5
The correct equation that can be used to determine x, the height of the beanbag toss target is:
D. 2x = 7.5(3)