Solutions
There are two equations in the system of equations in this problem.
Let x = lemonade and y = hot dogs
Equation # 1
x + y = 86
This says that t<span>he vendor sold 86 items.
</span>Equation # 2
2x + 5y = 330
= $2 for each lemonade
= $5 for each hot dog.
= total amount earned is $330.
Only these two equations are true and needed.
Answer:
<em>Part A: </em>
<em>c = 1.15p</em>
<em>c(2) = $2.30</em>
<em>Part B: </em>
<em>c = 0.90p</em>
Part B:
Step-by-step explanation:
<u>Linear Models</u>
Candy's Sweets Company charges $1.15 per pound to ship candy. This represents a proportional relationship between the pounds of candy and the cost.
Part A: If each pound costs $1.15, then p pounds cost $1.15p. Then the equation of the cost c is:
c = 1.15p
The cost of shipping p=2 pounds of candy is:
c = 1.15*2 = 2.30
c = $2.30
Part B: When the company reduces the cost by $0.25 per pound, the new unit cost is $1.15 - $0.25 = $0.90 per pound.
The new equation to determine the total cost for p pounds of candy is:
c = 0.90p
It is a 125% increase from 20 to 45
Answer: D. (4,3)
The x coordinates of A and B are 9 and -1 in that order. Add them up to get 9+(-1) = 9-1 = 8. Then divide by two to end up with 8/2 = 4. The midpoint has an x coordinate of 4.
Repeat for the y coordinates. Add them up: 8+(-2) = 8-2 = 6. Then divide by two: 6/2 = 3. The midpoint has an y coordinate of 3.
Those two coordinates pair up to get (x,y) = (4,3) which is the midpoint of segment AB.
