Question

GIVING BRAINLIEST Write a proportion that could be used to solve for each variable. Then solve. 7 pencils for $1.68 p pencils for $2.88 a. 7.1.68 = p/2.88; p = 10 c. 1.68/7 = p/2.88; p = 0.7 b. 7/1.68 = p/2.88; p = 12 d. 7/2.88 = p/1.68; p = 4

Answer 1

The proportion that could be used to solve for the variable is:

$\frac{7}{1.68}=\frac{p}{2.88}$ ; p = 12 ⇒ b

Step-by-step explanation:

Direct proportion means that two (or more) quantities increase or decrease in the same ratio

• y = k x is the equation of direct proportion, where k is the constant of proportionality
• $\frac{y_{1}}{x_{1}}=\frac{y_{2}}{x_{2}}=k$ is the another way to write a proportion

The number of pencils and the cost of them is increased together or decreased together

∴ The number of the pencils and their costs are in direct proportion

- By using the 2nd rule above

∵ The cost of the 7 pencils is $1.68

∵ The cost of p pencils is $2.88

∴ $\frac{7}{1.68}=\frac{p}{2.88}$

The proportion that could be used to solve for the variable is: $\frac{7}{1.68}=\frac{p}{2.88}$

∵ $\frac{7}{1.68}=\frac{p}{2.88}$

- By using cross multiplication

∴ p × 1.68 = 7 × 2.88

∴ 1.68 p = 20.16

- Divide both sides by 1.68

∴ p = 12

The value of variable p is 12

Learn more:

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

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