Question

5 Jamila sells honey. She posts this sign for her customers.Then she makes a graph that shows the price of each size jar.Is Jamila's price the same per ounce for any size jar? Explain.HONE201612Price ($)4Х004 81216Jar Capacity (oz)

Answer 1

Based on the graph of this proportional relationship, yes, Jamila's price is the same per ounce for any size jar.

In Mathematics and Geometry, a proportional relationship is a type of relationship that passes through the origin (0, 0) and produces equivalent ratios as represented by the following mathematical equation:

y = kx

Where:

• y represents the y-variable or price ($).
• x represents the x-variable or jar capacity (in oz).
• k is the constant of proportionality.

Next, we would determine the constant of proportionality (k) by using various data points as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = 5/4 = 12.5/10

Constant of proportionality, k = 1.25.

Therefore, the required linear equation for Jamila's price per ounce is given by;

y = kx

y = 1.25x, which means that Jamal's price is $1.25 per ounce.

Answer 2

it is given that, the relation between the price of honey and jar capacity is in the given graph.

so, we have three points on the graph,

A(4,5), B(10,12.5) and C (15,19)

so, price of 4 oz = 5 $

price of 1 oz = 5/4 = 1.25 $

price of 10 oz = 12.5

price of 1 oz = 1.25 $

price of 15 oz is 19 $

price of 1 oz is 19/15 = 1.26 $

so, the approx price for 1 oz of honey is 1.25 that is approx same per ounce for any size of the jar.

thus, yes Jamila's price is the same per ounce for any size jar