212-5t+8 3. The value of a virtual currency (in $100) is given by V(t)= where t is the number " t²+4 of weeks since the virtual currency has been introduced. (a) Using the function given, determine the average rate of change of the virtual currency's value for (i) the first 2 weeks. (ii) from week 2 to week 4 (b) Find the instantaneous rate of change of the virtual currency's value at 2 weeks. (Round your answer to the nearest whole number) (c) What can you conclude from the results from (a) and (b)?

Use exponential regression to find the value of y when x = 50. Round your answer to the nearest whole number. 5 10 15 20 25 30 35 y 212 223 235 249 263 280 306

The daily production level is currently 100 filters and increasing by rate of 8 filters per day. (a) Estimate the change in daily production over the next week. filters (b) Estimate the daily production in a week. filters Need Help? Read It

Between the ages of 7 and 11 years, a certain boy grows 1.5 inches taller each year. At age 8, he is 50 inches tall. (a) Explain why, during this period, the function giving the height of the boy in terms of his age is linear. Since the rate of change -Select- and equals Identify the slope of this function. in/yr (b) Use a formula to express the height H of the boy as a linear function of his age A during this period. H(A) = (c) What is the initial value of the function that you found in part (b)? H(0) = , the boy's height is a linear function of time. (d) Studying a graph of the boy's height as a function of his age from birth to age 7 reveals that the graph is increasing and concave down. Does this indicate that this actual height (or length) at birth was larger or smaller than your answer to part (c)? O larger O smaller Explain your reasoning.

BEAT has been selling their very own Platinum Eco-Charger since the beginning of this semester. If the number of units sold N, as a function of time, t, in years, can be represented by N(t) = 100(e-³ - e"), what was the highest number of chargers sold in a day?

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