Let y = safe load in pounds and x = depth in inches for a certain type of rectangular horizontal beam. A constant of proportionality exists such that y = kx². Determine the constant k for a beam with y = 1,000 pounds and x = 5 inches.

A. 40

B. 100

C. 200

Question

Mathematics

Sam

30 September, 14:24

Let y = safe load in pounds and x = depth in inches for a certain type of rectangular horizontal beam. A constant of proportionality exists such that y = kx². Determine the constant k for a beam with y = 1,000 pounds and x = 5 inches.

A. 40

B. 100

C. 200

+3

Answers (1)

Know the Answer?

Quentin Sexton · Answer 1

A. 40. The formula y = kx² is the problem being presented y = 1,000 and x = 5. Plug in the values to solve

1000 = k * 5^2 (square 5 to get)

1000 = k*25

divide both sides by 25

1000/25 = 40

40 = k

Let y = safe load in pounds and x = depth in inches for a certain type of rectangular horizontal beam. A constant of proportionality exists such that y = kx². Determine the constant k for a beam with y = 1,000 pounds and x = 5 inches.A. 40B. 100C. 200

Let y = safe load in pounds and x = depth in inches for a certain type of rectangular horizontal beam. A constant of proportionality exists such that y = kx². Determine the constant k for a beam with y = 1,000 pounds and x = 5 inches.

A. 40

B. 100

C. 200