What is the rate of change of the amount earned with respect to hours worked for this function?
2 answers:
Question:
The graph shows the amount of money Miguel earns after working x hours. What is the rate of change of the amount earned with respect to hours worked for this function? hours per dollar hours per dollar 3 dollars per hour 13 dollars per hour
Answer: 13 dollars per hour
Step-by-step explanation:
The rate of change (ROC) for the point defined on the graph can be deduced by calculating the ratio of the difference between the two coordinate points given, similar to calculating the gradient or slope :
Point a = (5, 65) = (x2, y2)
Point b = (2, 26) = (x1, y1)
Calculating the gradient or slope :
Rate of change = (y2 - y1) / (x2 - x1)
Rate of change = (65 - 26) / (5 - 2)
Rate of change = 39 / 3
= 13 dollars per hour
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Answer:
x>$25000
Step-by-step explanation:
<u>Given</u>:
The length of the segment of the chord DB is 8.2 units.
The length of the segment AB is 6.9 units.
The length of the radius AC be x units.
We need to determine the value of x.
<u>Length of BC:</u>
Since, we know the property that, "if a radius is perpendicular to the chord, then it bisects the chord".
Thus, applying the above property, we have;
DB ≅ BC
8.2 = BC
Thus, the length of BC is 8.2 units.
<u>Value of x:</u>
Since, ∠B makes 90°, let us apply the Pythagorean theorem to determine the value of x.
Thus, we have;
Substituting the values, we have;
Thus, the value of x is 10.7 units.
Hence, Option A is the correct answer.
