(100 points plus brainliest) A proportional relationship between the number of pounds of potatoes (x) and the price in dollars (y) is graphed, and the ordered pair (4, 3) is on the graphed line

what is the price of 1 pound of potatoes? SHOW YOUR WORK ​



Answer :

Answer: $0.75

Step-by-step explanation:

-We know that the line must also contain the point (0,0), as 0 pounds of potatoes would cost $0. Thus we can find the slope of the line and write an equation:

slope = Δy/Δx = (3-0)/(4-0) = 3/4

y = (3/4)x

(The y-int (aka b) is 0 since the line passes through (0,0))

Plugging in 1 yields $0.75

Answer:

  • $0.75 per pound

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Proportional relationship equation:

  • y = kx, where k-constant of proportionality

Given point (4, 3).

Use its coordinates to find the value of k:

  • 3 = 4k
  • k = 3/4
  • k = 0.75

This is representing the price of 1 pound of potatoes.

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