Write the equation of the line in slope intercept form for the lone with a slope of 1/3 and a y intercept of (0,4)
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Answer:
The answer is below
Step-by-step explanation:
a) Triangle A is attached in the image below.
The base of triangle A is 3 units and its height is 3 units. The area of a triangle is given as:
Area = (1/2) × base × height
Area of triangle A = (1/2) × base × height = (1/2) × 3 × 3 = 4.5 unit²
Area of the scaled copy = 72 unit²
Ratio of area = Area of the scaled copy / Area of triangle A = 72 unit² / 4.5 unit² = 16
Hence the scaled copy area is 16 times larger than that of triangle A.
b) For the scaled copy:
Area of the scaled copy = (1/2) × base × height = 72 unit²
base × height = 144
Since the base and height are equal
base² = 144
base = 12, also height = 12
Base of scaled copy = 12 = 4 × base of triangle A
Therefore the scale factor used is 4
Using the given functions, it is found that:
- Lower total cost at Jump-n-Play: 40, 64.
- Lower total cost at Bounce house: 28, 8, 30.
- Same total cost at both locations: 32.
For n visits to Jump-n-play, the cost is:
J(n) = 189 + 3n.
For n visits to Bounce Word, the cost is:
B(n) = 125 + 5n.
Comparing them, we have that:
Hence:
- For less than 32 visits, the cost at Bounce World is lower.
- For more than 32 visits, the cost at Jump-n-play is lower.
Hence:
- Lower total cost at Jump-n-Play: 40, 64.
- Lower total cost at Bounce house: 28, 8, 30.
- Same total cost at both locations: 32.
More can be learned about functions at brainly.com/question/25537936