Answer: B) $47/week
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Explanation:
Because the graph goes through the origin, we can simply divide the y value over the x value. Do so for any point on the diagonal line.
For example, picking (x,y) = (2, 94) leads to k = y/x = 94/2 = 47 being the constant of proportionality and also the amount of savings per week.
You can think of it like this:
2 weeks = $94 in savings
2/2 weeks = $94/2 in savings ... divide both sides by 2
1 week = $47 in savings
leading to the savings rate of $47 per week
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Side note: This linear equation is y = 47x. It is in the form y = kx with k = 47. It is a direct proportion equation. The constant of proportionality is also the slope. All direct proportion equations are linear and go through the origin.
Answer:
The total of 4 cups lasts 8 days to Mr. Simpson.
Step-by-step explanation:
The 1/2 cups of food lasts 1 day
⇒ 1 cup of food lasts = 
= 2 days.
Now, Mr. Simpson has 4 cups.
So, 4 cups last him = 4 x 2 days = 8 days
Hence, a total of 4 cups lasts 8 days to Mr. Simpson.
Answer:
33.08 m
Step-by-step explanation:
angle of ∆ = 131.6 - 90 = 41.6
=> x² = 8²+3²-2(8)(3)cos 41.6°
= 64+9-48(0.75)
= 73 - 36
= 37
x = √37 = 6.08 m
perimeter = (3×8)+3+6.08 = 33.08 m
