Question

A fruit juice recipe uses three ingredients. Two of the ingredients use a ratio of 2 ounces of pineapple juice to 5 ounces of fruit punch. Part A: Grape a line on the coordinates plane to represent this relationship
Part B: Create an equation to represent this relationship. Let x represent ounces of pineapple juice. Let y represent ounces of fruit punch.

Answer 1

Answer:

(a) See attachment

$(b)\ y =2.5x$

Step-by-step explanation:

Given

$x \to pineapple$

$y \to fruit$

$x : y =2 : 5$

Solving (a): The graph

First, we create an equation from $x : y =2 : 5$

Express as fraction

$\frac{x }{ y} =\frac{2 }{ 5}$

Cross multiply

$2y = 5x$

See attachment for graph

Solving (b): An expression that represents the relationship

In (a), we have:

$2y = 5x$

Divide by 2

$y = \frac{5}{2}x$

$y =2.5x$