Answer:
The system has one solution.
Both lines have the same y-intercept.
The solution is the intersection of the 2 lines.
Step-by-step explanation:
Lines are
slope = 0.5
y intercept(put x =0) =5
slope = 1
y intercept(put x =0 ) =5
Both are linear equation thus they have only one solution. Also two non parallel lines meet only at one point.
If you solve these linear equation coordinate of point of intersection of line on graph will come.
Answer:
We have the equation
Then, the augmented matrix of the system is
We exchange rows 1 and 4 and rows 2 and 3 and obtain the matrix:
This matrix is in echelon form. Then, now we apply backward substitution:
1.
2.
3.
4.
Then the system has unique solution that is and this imply that the vectors
are linear independent.
Let's solve ~
Therefore, Option D is correct ~
Answer:
a.
Clear Prints =
Sue =
b. 10 posters
c. See Below
d. Clear Prints
e. See Below
Step-by-step explanation:
<u>Complete Question:</u>
<em>Ms. Chang’s class decides to order posters that advertise a walkathon to raise money for a local charity. Ichiro obtains quotes from two different companies.Clear Prints charges $2 per poster. Posters by Sue charges $15 plus $.50 per poster.</em>
<em>a. For each company, write an equation Ichiro could use to calculate the cost for any number of posters.</em>
<em>b. For what number of posters is the cost the same for both companies? Explain.</em>
<em>c. Which company do you think the class should buy posters from? Explain your reasoning.</em>
<em>d. If Ms. Chang’s class has an $18 budget for posters, which company do you think the class should buy posters from? </em>
<em>e. If Ms. Chang donates an additional $10 for ordering posters, does it impact the decision made? What factors influenced your decision?</em>
<em />
<u>Solution:</u>
a.
Let the number of posters be "p" so
Clear Print would take 2 * p or "2p"
Sue would take a fixed cost of $15 and 0.5p, so "15 + 0.5p"
b.
We want cost of both to be same. So we can equate:
Now, using algebra, we can solve for "p", the number at which both of the printers will cost same. Lets do this:
So, for 10 posters, the cost of both will be same
c.
It depends.
If the number of posters they order is LESS THAN 10, they should order from Clear Prints. If the number of posters they print is "10", then they can choose any one of the printers since cost would be same. If they print more than 10 posters, then they should choose to go with Sue, as it will cost less.
d.
If the budget is $18, they can get:
Clear Prints = 18/2 = 9 posters made
Sue = 15 already gone as fixed cost, so remaining is 18 - 15 = 3
At 0.5 per poster, 3/0.5 = 6 posters
So, taking Clear Prints would be better.
e.
The budget of 18 is increase by 10, so the budget is:
18 + 10 = $28
From clear prints, you can get:
28/2 = 14 posters
From Sue, you can get:
28 - 15(fixed cost) = 13 left for posters
13/0.5 = 26 posters
Definitely, Sue gives more, so decision made at $18 budget to get Clear Prints would be impacted because they should now go with Sue since it will give them better deal and more posters.