Give reasoning for the answer and I will give brainy to whoever is correct!
2 answers:
Answer:
1. The graph is non-proportional because it starts from (0, 2).
2. The slope of the line is 3.
3. y=3x+2
Step-by-step explanation:
The graph is non-proportional since it didn't start from the origin (0, 0). If the graph starts from the origin, then it's proportional.
To find the slope of the line, use this equation, or
to solve for slope. Pick any two points on the line and use the equation that I mentioned to solve for slope m.
I chose (0, 2) and (1, 5) to find the slope
Once you find the slope, write the equation in y=mx+b form to find what b is with one of the points given.
----------------------
2 = b
Equation of the line: y=3x+2
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Answer:
a) $160
b) $116.50
Step-by-step explanation:
a) Let the original price of the yellow bicycle be $x.
Since both has the same original price,
original price of yellow bicycle= 100% x
original price of green bicycle= 100% x
Discounted price of yellow bicycle
= (100% -25%) x
= 75% x
Discounted price of green bicycle
= (100% -30%) x
= 70% x
Difference in cost
= 75%x -70%x
= 5% x -----(1)
From 2nd paragraph:
Discounted price of yellow bicycle
= Kyreen's money +3.50
Discounted price of green bicycle
= Kyreen's money -4.50
Difference in cost
= (Kyreen's money +3.50) -(Kyreen's money -4.50)
= Kyreen's money +3.50 -Kyreen's money +4.50
= 3.50 +4.50
= 8.00 -----(2)
Equating (1) and (2) together:
5% x= 8.00
x= 8 ×20
x= 160
Thus, the original price of the yellow bicycle is $160.
_______
b) Amount Kyreen has at first
= discounted price of yellow bicycle -$3.50
= 75%($160) -$3.50
= $120 -$3.50
= $116.50