Nathaniel purchases a one year membership pass to an art museum as a member he receives a discounted entrance fee the total cost
for the year f(x) after c visits to the art museum is shown on the graph below
2 answers:
For this case, we must find the equation of the line.
The generic equation of the line is:
The slope of the line is:
Substituting values we have:
Rewriting:
We now choose an ordered pair:
(xo, yo) = (0, 12)
Substituting values we have:
Rewriting the equation:
For 20 visits, we evaluate the equation when x = 20.
We have then:
Answer:
The discounted entrance fee is 1.5$. The total cost is 42$ after 20 visits
The generic equation of the line is:
The slope of the line is:
Substituting values we have:
Rewriting:
We now choose an ordered pair:
(xo, yo) = (0, 12)
Substituting values we have:
Rewriting the equation:
For 20 visits, we evaluate the equation when x = 20.
We have then:
Answer:
The discounted entrance fee is 1.5$. The total cost is 42$ after 20 visits
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Answer:
See explanation
Step-by-step explanation:
Let x be the number of simple arrangements and y be the number of grand arrangements.
1. The florist makes at least twice as many of the simple arrangements as the grand arrangements, so
2. A florist can make a grand arrangement in 18 minutes hour, then he can make y arrangements in
hours.
A florist can make a simple arrangement in 10 minutes hour, so he can make x arrangements in
hours.
The florist can work only 40 hours per week, then
3. The profit on the simple arrangement is $10, then the profit on x simple arrangements is $10x.
The profit on the grand arrangement is $25, then the profit on y grand arrangements is $25y.
Total profit: $(10x+25y)
Plot first two inequalities and find the point where the profit is maximum. This point is point of intersection of lines and
But this point has not integer coordinates. The nearest point with two integer coordinates is (126,63), then the maximum profit is
