Question

select all the correct answers.

prenell is filling his car with gasoline. regular unleaded gas costs $1.89 per gallon. which two equations show the proportional relationship between the total cost, \\(c\\), and the price per gallon, \\(p\\) of gasoline?

\\(pc = 1.89\\)

\\(c = 1.89p\\)

\\(\frac{p}{c} = 1.89\\)

\\(\frac{c}{p} = 1.89\\)

\\(c = \frac{1.89}{p}\\)

\\(p = 1.89c\\)

Explanation:

Set up the proportional relationship

$$ c = 1.89p $$

Rearrange the equation to find equivalent forms

$$ \frac{c}{p} = 1.89 $$

Identify the matching options

$$
LATEXBLOCK0
$$

Answer:

• (A) \(pc = 1.89\)
• (B) \(c = 1.89p\) (Correct answer)
• (C) \(\frac{p}{c} = 1.89\)
• (D) \(\frac{c}{p} = 1.89\) (Correct answer)
• (E) \(c = \frac{1.89}{p}\)
• (F) \(p = 1.89c\)