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7th Grade Unit IV Performance Task (Proportional Relationships - Produce Stands)

Al’s Produce Stand sells 6 ears of corn for $1.50. Barbara’s Produce Stand sells 13 ears of corn for $3.12. Write two equations, one for each produce stand, that model the relationship between the number of ears of corn sold and the cost. Then, use each equation to help complete the table below.

Al’s Produce Stand Barbara’s Produce Stand
Ears
6
14
21
200
Ears
13
14
21
208
Cost
$1.50
$3.50
$5.25
$50.00
Cost
$3.12
$3.36
$5.04
$49.92


Step 1: Find the constant of proportionality

Al’s Produce Stan
6 / 1.50 = .25
Barbara’s Produce Stand
3.12 / 13 = 0.24


Step 2: Write your equations y = kx

Al’s Produce Stand
6 ears is worth 1.50



Barbara’s Produce Stand
13 ears is worth 3.12


Step 3: Use your equations to find the missing values in the table. (Put the answers in the table.)

14/1.50
21/1.50





14/3.12
21/3.12

Sagot :

MrRoyal

Al's and  Barbara's produce stands are illustrations of proportional relationships

  • The unit rate at Al’s Produce Stand is 0.25, and the unit rate at Barbara’s Produce Stand is 0.24
  • The equation at Al’s Produce Stand is y = 0.25x, and the equation at Barbara’s Produce Stand is y = 0.24x

Step 1: The constant of proportionality

From the question, we have the following ordered pairs

  • Al’s Produce Stand: (x, y) = (6,1.50)
  • Barbara’s Produce Stand: (x, y) = (13,3.12)

The unit rate is calculated as:

[tex]k = \frac yx[/tex]

So, we have:

Al

[tex]k = \frac{1.50}{6}[/tex]

[tex]k = 0.25[/tex]

Barbara

[tex]k = \frac{3.12}{13}[/tex]

[tex]k = 0.24[/tex]

Hence, the unit rate at Al’s Produce Stand is 0.25, and the unit rate at Barbara’s Produce Stand is 0.24

Step 2: The equation

This is represented as

[tex]y = kx[/tex]

So, we have:

Al

[tex]y = 0.25x[/tex]

Barbara

[tex]y = 0.24x[/tex]

Hence, the equation at Al’s Produce Stand is y = 0.25x, and the equation at Barbara’s Produce Stand is y = 0.24x

Step 3: The missing values

This cannot be determined, as the table is not properly formatted

Read more about proportional equations at:

https://brainly.com/question/12242745

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