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)

Respuesta :

Answer:

[tex]y = 0.98x[/tex]

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:

[tex]y = kx[/tex]

Where k = proportion

Make k the subject:

[tex]k = \frac{y}{x}[/tex]

When y = 3.92 and x = 4

The proportion (k) is calculated as thus:

[tex]k = \frac{y}{x}[/tex]

[tex]k = \frac{3.92}{4}[/tex]

[tex]k = 0.98[/tex]

When y = 39.2 and x = 40

Using the same formula:

[tex]k = \frac{39.2}{40}[/tex]

[tex]k = 0.98[/tex]

Substitute 0.98 for k in [tex]y = kx[/tex]

Hence, the proportional relationship is

[tex]y = 0.98x[/tex]