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.
Here's the solution ~
As we know, we can calculate the circumference of a circle in terms of its diameter as :
where, c = circumference and d = diameter
And also, circumference of circle is terms of radius (r) is :
Now, let's move on to questions ~
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Answer:
156.654
Step-by-step explanation:
162*.967=156.654
Answer:
D 20 *1.10 * 1.05
Step-by-step explanation:
We have 19.8 tons of wheat. That is close to 20 tons
We increase by 9.8 percent. 9.8% is close to 10%
When we increase, that is 100% of what we had plus the increase, so we multiply by 100 +10% or 110%. In decimal form that is 1.1
20 *1.10
Then the next year we increase by 5.1%. That is close to 5%
We have 100% plus the 5% or 105%, which in decimal form is 1.05
We multiply what we had (20 *1.10) by 1.05
20 *1.10 * 1.05
This is the total amount we have
The interval that f(x) is increasing is the distance from 200 to 300.
The minimum value of f(x) in the interval 0<x<300 is 200.
At a value of 500, the value of f(x) is 0.
The function can't be a quadratic function since there are two points in the graph where f(x) changes its rate from increasing to decreasing or the opposite. A quadratic function has only one of that point.
