Analyze both functions and describe in detail under what conditions Stephanie's profit, in dollars, would be greater than Bryson's profit. Provide evidence to support your answer.

The number of tomatoes must be less than 40.

Step-by-step explanation:

Stephanie and Bryson both grow tomatoes to sell at farmers' markets. Stephanie grew a total of 70 pounds  of tomatoes to sell. She plans to sell the tomatoes for $3.50 per pound. The equation below represents the  profit in dollars, f(x), she will earn by selling x pounds of the tomatoes.

f(x) = 3.50x -110

Bryson plans to sell his tomatoes at a different farmers' market. He grew a total of 90 pounds of tomatoes.

The table below shows the profit, in dollars, he will earn by selling different numbers of pounds of

tomatoes.

Bryson's Tomato Sales

-97.50 -55.00 -12.50 30,00

Profit (dollars)

Pounds of

Tomatoes Sold

10

20

30

40

Solution:

For Stephanie, let x represent the number tomatoes sold and f(x) represent the profit in dollars. The profit is given by:

f(x) = 3.5x - 110

For Bryson, let x represent the number tomatoes sold and y represent the profit in dollars. From the table, the profit can be represented by the points (10, -97.5) and (40, 30). The profit can be gotten using the formula:

Stephanie profit > Bryson profit

3.5x - 110 > 4.25x - 140

3.5x - 4.25x > -140 + 110

-0.75x > -30

x < 40

step-by-step explanation: h: (- 3, 6)

m: (1, - 2)

o: (7, 6)

r: (- 9, - 2)

midpoint of hm: (- 1, 2)

midpoint of or: (- 1, 2)

therefore, b is the midpoint of both diagonals bisect each other !

to prove the diagonals are perpendicular, show that the product of the slopes = - 1

nlgqer

step-by-step