Question

A 4 pound bag of oranges costs $3.92.A 40 pound case of oranges costs $39.20.Which equation below is correct for this proportional relationship for pounds (x) and cost (y)

Answer 1

Answer:

$y = 0.98x$

Step-by-step explanation:

Given

Cost of 4 lb orange = $3.92

Cost of 40 lb orange = $39.20

Required

Determine the proportion

The proportion can be calculated susing:

$y = kx$

Where k = proportion

Make k the subject:

$k = \frac{y}{x}$

When y = 3.92 and x = 4

The proportion (k) is calculated as thus:

$k = \frac{y}{x}$

$k = \frac{3.92}{4}$

$k = 0.98$

When y = 39.2 and x = 40

Using the same formula:

$k = \frac{39.2}{40}$

$k = 0.98$

Substitute 0.98 for k in $y = kx$

Hence, the proportional relationship is

$y = 0.98x$