1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Umnica [9.8K]
3 years ago
11

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.
Mathematics
1 answer:
fomenos3 years ago
8 0

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:

y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-(-97.5)=\frac{30-(-97.5)}{40-10} (x-10)\\\\y+ 97.5=4.25(x-10)\\\\y+97.5=4.25x-42.5\\\\y=4.25x-140

Stephanie profit > Bryson profit

3.5x - 110 > 4.25x - 140

3.5x - 4.25x > -140 + 110

-0.75x > -30

x < 40

You might be interested in
There are 3 grams of sodium in 1⁄2 of a liter of soda. How much sodium is in 2⁄3 of a liter of soda?
denis-greek [22]

Answer:

4 grams in 2/3 liter of soda.

3 0
3 years ago
Multiply the following polynomials, then place the answer in the proper location on the grid. Write the answer in descending pow
marshall27 [118]
The easiest method of multiplying polynomials, in my experience, is the FOIL method. Honestly, I couldn't tell you what the letters stand for anymore, but I definitely remember how to do it. It's just distribution. 
(6x+1)(5x+8)
Multiply the 6x by 5x and 8, then the 1 by 5x and 8:
30x²+48x+5x+8
Then combine like terms:
30x²+53x+8
5 0
3 years ago
Factor the expression completely.<br><br> 54 + 45x
kompoz [17]
9(6+5x) hope this helps!
5 0
3 years ago
Read 2 more answers
The width of a rectangle is 6 units less than the length. The area of the rectangle is 16 units. What is the length, in units, o
photoshop1234 [79]

length=8 units

Step-by-step explanation:

  1. LET,
  2. A=16 units
  3. L=a units
  4. B=a-6 units
  5. L*B=A
  6. Replacing value of L with 'a'. and B with 'a-6',
  7. a(a-6)=16
  8. a*a-a*6=16
  9. a^2-6a=16
  10. a^2-6a-16=0
  11. a^2-8a+2a-16=0
  12. a(a-8)+2(a-8)=0
  13. (a-8)(a+2)=0
  14. Either,. a-8=0
  15. first value a=8
  16. Or,. a+2=0
  17. second value a=-2(Rejected due to negative)
  18. therefore, a=L=8
  19. Length=8 units
8 0
3 years ago
3. Write an equation of the line that passes through (-2, 8) and (4,4).
gtnhenbr [62]

y =  -  \frac{2}{3} x +  \frac{20}{3}

Step-by-step explanation:

y=mx+c

label your points

(-2;8). pnt2

(4;4). pnt1

m =  \frac{y2 - y1}{x2 - x1}

m =  \frac{8 - 4}{ - 2 - 4}

m =  \frac{  4}{ - 6}

m = -   \frac{2}{3}

substitute gradient and 1 point into equation to get c

8 = ( -  \frac{2}{3} )( - 2) + c

8 =  \frac{4}{3}  + c

c = 8 -  \frac{4}{3}

c =  \frac{20}{3}

Therefore the equation is

y =  -  \frac{2}{3} x +  \frac{20}{3}

4 0
2 years ago
Other questions:
  • Raise 2/7 to a fraction with denominator of 28.
    10·2 answers
  • Select the postulate that is illustrated for the real numbers. 2(x + 3) = 2x + 6 The commutative postulate for multiplication Mu
    8·2 answers
  • A sedan will drive ten miles north, 15 miles east, 13 miles south, 15 miles west, and 22 miles
    8·1 answer
  • The cities Gardenville, Jamestown; and River City, in respective order, lie approximately in a straight line. The distance from
    13·1 answer
  • Help! please I'm not sure what it is please i really need help for my final
    15·1 answer
  • Carmen's butterfly has wings that are 25 centimeters long. How many millimeters is the length of the wings? (1 point)
    6·1 answer
  • PLEASE HELP THIS IS DUE BY TOMORROW
    13·1 answer
  • Evaluate the following:<br><br> <img src="https://tex.z-dn.net/?f=10%20%2B%20%5Csqrt%7B169%7D" id="TexFormula1" title="10 + \sqr
    15·2 answers
  • Which statement below is TRUE about |-2| and |-5|?
    15·2 answers
  • Need help or the answer for these two someone help please!!
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!