Question

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for the function below, give the units for the
average rate of change = \frac{f(b) - f(a)}{b - a}
the number of smartphones, n = f(p), purchased is a function of the price p, in dollars, of the smartphone.
the units are

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Explanation:

Step1: Identify units of numerator and denominator

The function \( N = f(p) \) has \( N \) (number of smartphones) as the output and \( p \) (price in dollars) as the input. So, \( f(b)-f(a) \) has units of smartphones (since it's a change in the number of smartphones), and \( b - a \) has units of dollars (since it's a change in price).

Step2: Determine units of average rate of change

The average rate of change is \( \frac{f(b)-f(a)}{b - a} \), so we divide the units of the numerator (smartphones) by the units of the denominator (dollars). This gives units of smartphones per dollar.

Answer:

smartphones per dollar