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Starting from a parent function , if you add a constant to the whole function, i.e. you perform the transformation
you shift the graph of the parent function by units, upwards if is positive, downwards otherwise.
In this case, so, you're shifting, the graph of 5 units upwards. Since the parent function passes through the point , because , the shifted graph mantains the same coordinate, but the coordinate is increased by 5, because of the 5 units upwards shift.
Answer:
y=0.2x+29
Step-by-step explanation:
Given that:
y is the total monthly of the A Fee and Fee plan.
x is the number of monthly minutes used.
- If a customer uses 290 minutes, the monthly cost will be $87, we have the pair (290, 87)
- If the customer uses 980 minutes, the monthly cost will be $225, this is the coordinate pair (980, 225).
We want to obtain an equation in the form: y=mx+b
First, let us determine the slope, m
Given points (290, 87) and (980, 225):
<u>Slope</u>
Next, we determine the y-intercept, b.
Substituting the pair (290, 87) and m=0.2 in y=mx+b, we obtain
87=0.2(290)+b
b=87-0.2(290)=29
Therefore, our equation in the form y=mx+b is:
y=0.2x+29