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Andre45 [30]
2 years ago
11

Katie's favorite deli has a salad bar where she can make her own salad. She has to pay $1 for the container and $3 per pound for

the salad.
Write an equation that shows how the total cost, y, depends on weight of the salad in pounds, x.
Do not include dollar signs in the equation
Mathematics
2 answers:
alexdok [17]2 years ago
7 0

Answer:

y = 3x + 1

Step-by-step explanation:

FromTheMoon [43]2 years ago
5 0

Answer: y = 3x + 1

Step-by-step explanation:

Following the y = mx + b theory, we can find the equation (see attached image) by plugging in two points of the hypothetical graph.

For one pound of salad, Katie will pay $4 ($3 for the salad, $1 for the container). Thus, the first point will be (1,4). For two pounds, Katie will pay $7. Thus, the second point will be (2,7).

Knowing that m (slope) = \frac{y_{2}-y_{1}}{x_{2}-{x_1}}, we can get the equation m = \frac{7-4}{2-1}, thus telling us that m = \frac{3}{1}, or 3. Plug in 3 for m, and you get y = 3x + b.

To solve for b, lets' use the second point (2,7). Plug in the coordinates and you get 7 = 3(2) + b, or 7 = 6 + b. Subtract 6 from both sides and you get b = 1.

Plug in 1 for b and you end up with y = 3x + 1

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The quantity demanded x for a certain brand of MP3 players is 100 units when the unit price p is set at $80. The quantity demand
Cerrena [4.2K]

Answer:p = (2100 - x)/25

Step-by-step explanation:

According to the law of demand, when the price,p of the brand of MP3 players is is high, the quantity,x of the brand of MP3 players demanded would be low and when the price,p of the brand of MP3 players is is low, the quantity,x of the brand of MP3 players demanded would be high.

To derive the demand equation, we would apply the slope intercept form of equation which is expressed as

y = mx + c

Where

m = slope

c = intercept

The slope, m would be

(y2 - y1)/(x2 - x1)

Slope = (1100 - 100)/(40 - 80) = 1000/-40

Slope = - 25

To find the y intercept, we would substitute m = - 25, y = 1100 and x = 40 into y = mx + c. It becomes

1100 = - 25 × 40 + c

1100 = - 1000 + c

c = 1100 + 1000 = 2100

y = - 25x + 2100

Therefore, the demand equation is

x = - 25p + 2100

25p = 2100 - x

p = (2100 - x)/25

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3 years ago
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Step-by-step explanation:

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