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Complete the statements below about the data by selecting the correct answer from each drop-down menu.
– The initial value, or y-intercept, of the linear function is _____ and represents _____.
– The rate of change is _____ and represents _____.
Answer options:
40
$18
$420
$480
To complete the statements, let’s analyze the options provided:
1. The initial value, or y-intercept, of the linear function is _____ and represents _____.
– If we consider that the y-intercept typically represents the value of y when x is 0, it could be either $420 or $480, depending on the context of the problem. However, $40 as the y-intercept would be lower and less likely as an initial point.
Without specific context, one reasonable assumption could be:
– $420 (as it’s a common initial value if it represents a starting amount in many scenarios) and represents the starting value before any change has occurred.
2. The rate of change is _____ and represents _____.
– The rate of change generally refers to how much y increases for each unit increase in x. Here, that might be $18, assuming the increase is constant and represents the change per unit (e.g., each year, month, etc.).
So, filled in:
– The initial value, or y-intercept, of the linear function is $420 and represents the starting value.
– The rate of change is $18 and represents the amount of increase per unit of x.
Feel free to ask if you have more questions or need further clarification!