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:
a. $45.54; b. $51.42; c. See below
Step-by-step explanation:
a. 193 min
Service charge = $40.00
1st 100 min @ 0.021 = 2.10
Next 93 min @0.037 = <u> 3.44
</u>
Total = $45.54
b. 317 min
Service charge = $40.00
1st 100 min @ 0.021 = 2.10
2nd 100 min @ 0.037 = 3.70
117 min @ 0.048 = <u> 5.62</u>
Total = $51.42
c. Piecewise function
The charge is
- $40.00 + 0.021t if t ≤ 100
- $42.10 + 0.037(t - 100) if 100 < t ≤ 200
- $45.80 + 0.048 (t - 200) if t > 200
which we can write like this:
Answer: D: the point (0,0) contains the x-intercept
Step-by-step explanation:
Answer: 49
Step-by-step explanation:
50−16/4+3
=50−4+3
=46+3
=49
179!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
