2/11 Constructing Linear/Exponential Functions-ACC

What is the equation of the function in the table?

• y = 2x + 5

• y = 2x + 1

• y = 5(2)^x

• y = 2(5)^x

What is the equation of the function in the table?

• y = 2x + 5

• y = 2x + 1

• y = 5(2)^x

• y = 2(5)^x

What is the equation of the function in the graph?

• y = 2x + 1

• y = (1/2)x + 1

• y = -2x + 1

• y = -(1/2)x + 1

What is the equation of the function in the graph?

• y = 2^x - 3

• y = -3(2)^x

• y = -3(1/2)^x

• y = 3^x - 3

Nick has $15 in his bank account and deposits $20 into the account once a month. What function would represent the amount of money nick has after x months?

• y = 20x + 15

• y = 15x + 20

• y = 15(20)^x

• y = 30x + 15

Jess opens a savings account that earns 4.1% annually. If her initial amount is $500, write an equation to determine the amount of money Jess will have after x years.

• y = 500(4.1)^x

• y = 500(1.41)^x

• y = 4.1x + 500

• y = 500(1.041)^x

In a lab, 800 bacteria reproduce by splitting. Every hour, on the hour, each bacterium splits into two bacteria. Write an equation relating n, the number of bacteria, to t, the number of hours.

• n = 800(2)^t

• t = 800(1/2)ⁿ

• n = 800(1/2)^t

• n = 800(2)^t-1

A water tank is leaking. The amount of water remaining (in gallons) x hours after the leak can be represented by the function  $f\left(x\right)=200-8x$  . The graph of f(x) is included. What does the -8x mean?

• The tank will take 8 hours to empty.

• The tank started with 8 gallons of water.

• The tank is losing 8 gallons of water every hour.

• It will take 8 hours to reach 25 gallons of water left.