Unit 1 homework

" The following is a partial table of values for f = f ( x ). ( Round your answers to two decimal places . )" * ( ) 32.3 36 .0 40 .1 43.7 (a) Estimate the value of f (1) by averaging. (b) Find the average rate of change for f between x = 0 and x = 2. "you currently have $720 in your bank account, which pays no interest. You withdraw $32 each week. Find a formula for the balance B, in dollars, in the account after t weeks . B = The following is a partial table of values for f = f (x). (Round your answers to two decimal places.) FEr (x) 61 38 60 (a) Find the average rate of change for f between x = 0 and x = 2. (b) Find the average rate of change for f between x = 2 and x = 4. (c) Use your answer to part (b) to estimate the value of f (4). You rent a wedding venue for a cost of $3400. The cost includes a catered lunch for 50 guests. For each additional guest, though, the catered lunch costs $32. (a) What is the cost of the venue and lunch if you invite 100 guests (b) Find a formula showing the cost of the venue and lunch as a function of n, the number of guests. Assume that n is at least 50. (c) The amount you have budgeted for the venue and catered lunch is $5500. How many guests can you invite? guests Suppose the function below describes a physical situation that makes sense only for numbers between 3 and 8. f = x3 _ 27x2 + 54x + 7 For what value of x does f reach a minimum? X = What is the minimum value? Find the maximum and minimum values of x2 + 90/x on the horizontal span of 1 to 5. Be sure to include endpoint maxima or minima. (Round your answers to two decimal places.) maximum value minimum value Suppose the function below describes a physical situation that makes sense only for whole numbers between 3 and 9 feet. f = 12x - x2 - 19 For what value of x does f reach a maximum? What is the maximum value? Use the single-graph method to solve the following. (Note: There are three solutions. Find all three. Round your answers to two decimal places.) 0.9x - 0.5x3 = 0 (smallest value) (largest value) Solve the system of equations by hand calculation. (Round your answers to two decimal places.) Sx - 2y = 10 x+ y = 0 ( x, V ) = ([ A stack contains $540 worth of paper money consisting of twenty-dollar bills and fifty-dollar bills. There are 15 bills altogether. How many twenty-dollar bills and how many fifty-dollar bills are in the stack? twentie bills fifties bills You're mixing blue paint with yellow paint to get a total of 14 gallons of the mixture. You want to use 3 times as much yellow paint as blue paint. How many gallons of each should you use? (Round your answers to one decimal place.) yellow paint gal blue paint gal