4.1-4.4 quiz

Calliope is taking a 14-day road trip out west. On the first day of her trip, she travels 40 miles. On the second day, she travels 55 miles. On the third day, she travels 70 miles and on the fourth day she travels 85 miles. She continues in this pattern for all 14 days a) How many miles does she drive on day 7? b) Write a rule for the number of miles she travels on the nth day of her road trip. c) How many miles does she drive on day 14? d) How many total miles did she drive during the second week of her trip (days 8 - 14)? Explain your reasoning.

130 an= 40 + 15(n-1) 235 1330 if you use the arithimic total you get this or if you add up all the days you get this answer as well

Values of the terms of a geometric sequence In are graphed in the figure. Which of the following is an expression for the nth term of the geometric sequence? A) g(n) = 2^n B) g(n) =2 (3/2)^2 C) g(n) =3(3/2)^n-2 D) g(n) = 2(2/3)^n-1

C) g(n) =3(3/2)^n-2

Values of a function f for selected values of a are given in the table. a) Find the value of k if f is a linear function. b) Find the value of k if f is an exponential function.

a) 71.6 b) 60

is the relationship linear, expontential, or neither? (2)

a. Exponential, grows by an equal factor of 2 over an equal interval of 3 b. Linear, constant difference is - 1.5

Let an be a geometric sequence with a3 = 10 and a6 = 156.25. Find a1.

a1=1.6

The nth term of a sequence is given by an =-11 + 3(n - 4). Is the sequence arithmetic, geometric, or neither? Explain. Find a4 Let w be some positive integer. Determine if the first expression is greater than, less than, or equal to the second expression and fill in the blank with the correct equality or inequality symbol.

arithmetic, there is a common difference of 3 -11 (plug and chug) =

Which of the following scenarios could be modeled by exponential decay? a) Money deposited in an account that earns 0.125% each quarter b) The amount of caffeine in your system after drinking a cup of coffee c) The height of a candle as it burns d) The volume of water in an inflatable pool as it is being filled

b) The amount of caffeine in your system after drinking a cup of coffee

Let f be a linear function and g be an exponential function. If f(3) = g(3) = 10 and f(4) = g(4) = 14, choose the statement that best justifies which function's graph, for g, has the greater y -intercept and why. a) f because the constant rate of change of 4 is greater than the constant ratio of 1.4 b) f because with a constant ratio of 4, g(0) = 0.156525 and with a constant rate of change of 1.4, f(0) = 5.8 c) g because with a constant ratio of 1.4, g(0) = 3.64 and with a constant rate of change of 4, f(0) =-2 d) Both f and g have the same y -intercept since f(0) = g(0).

c) g because with a constant ratio of 1.4, g(0) = 3.64 and with a constant rate of change of 4, f(0) =-2

A pond has 150 fish and the population of fish decreases by 8% each day. Write an equation for F(t) that gives the fish population after t days.

f(t) = 150(0.92)^t **percent keeping