The number of pet dogs in the United States can be represented as  p(t) million where t is the number of years since 2003.† (a) Write a sentence of interpretation for  p(0) = 65.2. In the year  , there were           million pet dogs in the United States. (b) Write the function notation for the statement "There were 66.9 million pet dogs in the United States in 2009." p(      )=    ?

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How do you use a formula to express a record time (63.2 seconds) as a function since 1950? (t=time in years since 1950 and R = record time in seconds. The record time decreases every year by 0.4 seconds).

Anthropologists can determine a person's height in life by using the person's skeletal remains as a clue. For example, the height (in centimeters) of a man with a humerus bone of length x cm can be obtained by multiplying 2.89 by x and adding 70.64 to the result. (a) Find a function h(x) that gives the height of a man whose humerus bone is x cm long. h(x) = (b) Use your function h from part (a) to predict the height of a man whose humerus bone is 25 cm long. cm

Which set of words describes the end behavior of the function f(x)=0.4(2x−9)(3x+1)(x−7)(x+9)?   a) increasing to the left and to the right   b) decreasing to the left and to the right   c) increasing to the left and decreasing to the right   d) decreasing to the left and increasing to the right

In 2000, the value of a home is 150,000.00 dollars. Its value has been increasing 5% per year. If this rate continues indefinitely, write an equation, in function notation, to represent the value of the home as a function of time, t, in years since 2000

f(x) — 5x2 + 9х — 4 8(x) 3D — 8х? - Зх — 4 Find (f + g)(x). | O a. – 3x4 + 6x2 О Б. 3x + бх — 8 О с. - 3x + бх — 8 O d. – 3x + 6x? – 8x |

The function g(x) = 9.18 + 7.86(x - 1) represents the charge for parking at the airport for x number of days. Which statement best represents the formula for this charge? A. The charge consists of a set fee of 9.18 plus $ 7.86 for every day parked . B. The charge consists of 9.18 for the first day parked and \$7.86 for each additional day The charge consists of $9.18 for every day parked plus a set fee of 7.86 OD. The charge consists of a rate of \$7.86 for every day parked .

The sales of Spicheesy Nachos at the local grocery store are currently 3,200 bags per month. Since Twisty Cheese Sticks were introduced, sales of Spicheesy Nachos had been declining by 48 bags per month. Twisty Cheese Sticks currently sell 1,400 bags per month and it sales are increasing by 62 bags per month. Part A: Write expressions for f(x) and g(x) that represent each products sales. Part B: what is the solution to the system? Part C: what does the solution represent?

Anthropologists can determine a person's height in life by using the person's skeletal remains as a clue. For example, the height (in centimeters) of a man with a humerus bone of length x cm can be obtained by multiplying 2.89 by x and adding 70.64 to the result. (a) Find a function h(x) that gives the height of a man whose humerus bone is x cm long. h(x) = (b) Use your function h from part (a) to predict the height of a man whose humerus bone is 30 cm long. cm