The manager of an employee health plan for a firm has studied the balance B, in millions of dollars, in the plan account as a function of t, the number of years since the plan was instituted. He has letermined that the account balance is given by the following formula. B=70+10r-30e. (a) Make a graph of B versus t over the first 16 years of the plan. B 80 60 40 20 80 60 40 20 5 10 10 15 13 t t B 50 40 30 20 10 B 80 60 40 20 5 (b) At what time is the account balance at its maximum? (Round your answer to two decimal places.) 8.73 x years 10 10 15 15 t (c) What is the smallest value of the account balance over the first 16 years of the plan? (Round your answer to two decimal places.) ✔ million dollars 40.00

-5 -4 -3 -2 -1 y = 5+ 4 3 2 1 5 -1 -2 -3 -4 1 Write an equation for the function graphed above 2 3 4 5 X

can you help me figure this out

Use the graph to determine to what age the average 15-year-old could expect to live. Life Expectancy by Age Q A 80 70- 60- 50- 40- 30- 20- 10+ to 0 10 20 30 40 50 60 70 80 Age ✔ The average 15-year-old could expect to live to years of age.

Interpret the slope of the graph of y=f(x)

The graph below shows a company's estimated profits (in dollars) for different advertising expenses (in tens of thousands of dollars). The company's actual profit was $988,608.55 for an advertising expense of $290,000. P 1 100 000 900 000 700 000 500 000 300 000 100 000 - 100 000 (29, 988608.55) 5 10 15 20 25 30 35 (b) The company's model is X i (a) From the graph, it appears that the company could have obtained the same profit for a lesser advertising expense. Use the graph to estimate this expense (in dollars). An advertising expense of $ when x = 0 also appears to yield a profit of about $988,608.55. P = 140.75x³ + 5348.3x2 - 76,560, 0 ≤ x ≤ 35 where P is the profit (in dollars) and x is the advertising expense (in tens of thousands of dollars). Explain how you could verify the lesser expense from part (a) algebraically. To verify, evaluate P(x) at x =

The graph represents the sales S (in millions of dollars) for Fossil from 2007 through 2013, where t represents the year, with t = 7 corresponding to 2007. Estimate the slopes of the graph for the years 2011 and 2012.

In 2005 the average annual and fees for attending a private college or university was $22000. This cost rose to about $36000 in 2015, as illustrated in the graph. Complete parts a and b

The manager of a band gets paid $8000 a show, plus 5% commission on the ticket sales of x dollars. Write a linear function that represents the manager’s total pay, P (in dollars), as function of x. Part A: P(x)=  Part B: What value of x will result in the manager earning $16000 for a single show? ROUND TO THE NEAREST INTEGER

In 2011 online sales were $192 billion, and in 2015 they were $264 billion. (a) Find a linear function S that models these data, where S is the sales in billions of dollars and x is the year. Write S(x) in slope-intercept form. (b) Interpret the slope of the graph of S. (c) Determine when online sales were $246 billion. ..... (a) Write S(x) in slope-intercept form. S(x) = %3D (b) Interpret the slope of the graph of S. Choose the correct answer below. O A. Sales decreased by $18 billion in next 4 years. B. Sales decreased, on average, by $18 billion/yr. C. Sales increased, on average, by $18 billion/yr. D. Sales increased by $18 billion in next 4 years. (c) Online sales were $246 billion in the year