Answer:
Step-by-step explanation:
85
Answers:
- The direct variation equation is y = 5x
- If x = 4, then y = 20
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Explanation:
Let's say that the letter k replaces the green box
We have the equation y = kx
Plug in (x,y) = (7,35) to get the equation 35 = k*7
Dividing both sides by 7 leads to k = 5
Therefore, the direct variation equation is y = 5x
We can check this by plugging in x = 7
y = 5x
y = 5*7
y = 35
So x = 7 leads to y = 35 as expected.
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Do the same for x = 4
y = 5x
y = 5*4
y = 20 when x = 4
Side note: direct variation equations always go through the origin.
Answer:
Discrete; number of Months after the first year; amount remaining on the card.
Step-by-step explanation:
The value of the card strictly loses $2.50/month after the first year of purchase. This means that the values can only be $22.50, $20, etc. If it were continuous, it would lose an amount that led up to $2.50, meaning that you could have values such as $23.48 and $24.07. We cannot have these values, therefore the relationship is discrete.
As time passes, the amount of money in the card changes. As the amount of money in the card depends on the number of months, we can say that the number of months is the independent variable while the amount of money on the card is the dependent variable.
Hope this helps.
The workings to the answers are in the attachments below. Open them up in a new window to see them in full.
Lowest Point On The Graph:
(4.480878208, -61.32441280)
Highest Point On The Graph:
(1.155422854, 17.23818241)
2nd Lowest Point On The Graph:
(-0.3863010618, 7.23076164)
To answer this problem, you should know the formula that we will be using and this would be:
Angle of elevation = arc tan( (vertical height)/(length of the shadow)).
Plugging in the values in the formula. Here, this angle is:
arc tan (12.5/18) = <span>34.78 degrees</span>
The answer would be approximately 34.78 degrees
