Solve the following problem using cross-multiplication: Ja’quin draws a picture of a horse that measures 7 inches by 4 inches. He increases the size of the picture on a photocopier so that its new width is 6 inches. What is the new length of the picture? Round to the nearest tenth.
A. 1.2 inches
B. 42.0 inches
C. 10.5 inches
D. 1.5 inches
First, set up the proportion:
7 inches / 4 inches = 6 inches / x inches
Cross-multiply:
7x = 24
Divide by 7 to solve for x:
x = 24 / 7
x ≈ 3.43 inches
Therefore, the new length of the picture is approximately 3.4 inches. Rounded to the nearest tenth, the answer is:
C. 3.4 inches