HELP FOR 7 AND 8 Pleaseeeee
1 answer:
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Answer:
Step-by-step explanation:
<u>Graph of an inequality</u>
The graph represented in the image is a line and we have two clear points through which the line passes.
Those points are (0,1) and (5,0).
The equation of a line can have the slope-intercept form:
y=mx+b
Substituting the point (0,1):
1=0+b
b=1
Substituting the point (5,0):
0=m(5)+1
Solving for m:
The equation of the line is:
The origin belongs to the solution if we substitute (0,0) the inequality should stand:
0<1
Or:
0≤1
Since the line is dashed, the boundary line is not part of the solution
Thus the inequality is:
Option D.
Step-by-step explanation:
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