Question

GIVING BRAINLIEST Write a proportion that could be used to solve for each variable. Then solve. 16 walls in 40 hours 3 walls in h hours a. 16/40 = h/3; h = 1.2 c. 16/h = 3/40; h = 213.3 b. 16/40 = 3/h; h = 7.5 d. 16/40 = 3/h; h = 8.5

Answer 1

The proportion that could be used to solve for the variable is $\frac{16}{40}=\frac{3}{h}$ ; h = 7.5 ⇒ answer b

Step-by-step explanation:

A proportional relationship: one variable is always a constant value times the other, that constant is called the constant of proportionality

• y = k x is the equation of the proportional relationship
• We can write the proportional relationship in the form $\frac{y_{1}}{x_{1}}=\frac{y_{2}}{x_{2}}=k$

The number of walls and the number of hours are increased or decreased together

∴ The number of walls and the number of hours are proportion

∵ 16 walls in 40 hours

∵ 3 walls in h hours

- By using the second rule above

∴ $\frac{16}{40}=\frac{3}{h}$

The proportion that could be used to solve for the variable is  $\frac{16}{40}=\frac{3}{h}$

Let us solve it to find h

∵  $\frac{16}{40}=\frac{3}{h}$

- By using cross multiplication

∴ 16 × h = 3 × 40

∴ 16 h = 120

- Divide both sides by 16

∴ h = 7.5

The value of h is 7.5 hours

Learn more:

You can learn more about the proportion in brainly.com/question/10708697

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