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Let us take a sharp point for the graph.
In 4 hours total earning is $30.
Therefore, earnings per hours would be 30/4 = $7.5 per hour.
Are given direct variation between Total earnings(E) and Number of hours worked(h).
So, we can setup a direct variation as
Total earnings = Earning each hour * Number of hours.
Therefore, direct variation function would be
E=7.5*h.
Therefore, the direct variation function between E, the total earnings in dollars, and h, the number of hours worked is E = 7.5h.
Answer:
0
Step-by-step explanation:
This equation is in "vertex form," meaning that you can identify the vertex and other features of the graph from the equation.
y = a(x -h)² +k . . . . . the vertex is (h, k); the vertical scale factor is "a"
Comparing to your equation, you see ...
a = -1/2, h = 3, k = -1
The vertex is (h, k) = (3, -1). The vertical scale factor is negative.
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This tells you the graph opens downward (the scale factor is negative), and the vertex (maximum point) is below the x-axis. (It has a negative y-coordinate.)
Because it start below the x-axis and goes down from there, the graph does not intersect the x-axis. There are zero (0) x-intercepts.
