2 8 15 8. An interior designer charges customers an initial consultation fee plus an hourly rate. The table
1 answer:
The rate of change is $55 per hour. The means that the hourly rate of the designer is $55 per hour
<h3>Linear equation</h3>A linear equation is in the form:
y = mx + b
where y, x are variables, m is the slope of the line and m is the y intercept.
Let y represent the total cost of hiring for x hours. Hence:
- Using the points (0, 125) and (15, 950)
The rate of change is $55 per hour. The means that the hourly rate of the designer is $55 per hour
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let's first off take a peek at those values.
let's say the point with those coordinates is point C, so C is 3/10 of the way from A to B.
meaning, we take the segment AB and cut it in 10 equal pieces, AC takes 3 pieces, and CB takes 7 pieces, namely AC and CB are at a 3:7 ratio.
For this case we have the following functions:
When x = 0 we have:
For y1:
For y2:
Therefore, we have to:
When x = 5 we have:
For y2:
For y3:
Therefore, we have to:
When x = -1 we have:
For y1:
For y2:
For y3:
Therefore, we have to:
Answer:
When x = 0, y1 = y2
When x = 5, y2 <y3
When x = -1, y3 <y1 <y2
When x = 0 we have:
For y1:
For y2:
Therefore, we have to:
When x = 5 we have:
For y2:
For y3:
Therefore, we have to:
When x = -1 we have:
For y1:
For y2:
For y3:
Therefore, we have to:
Answer:
When x = 0, y1 = y2
When x = 5, y2 <y3
When x = -1, y3 <y1 <y2