My assigments
1/ Determine whether the given function is exponential, linear or neither. If it is exponential or linear - create the appropriate 'model' H(x) -1 2 9 1 16 2 23 3 20 O Exponential Q = f(t) = 9 (1.30)^t O neither O linear: y = 7x + 9 O exponential: Q = F(x) = 9 (.70) ^t 2/ Determine whether the given function is exponential, linear or neither. If it is exponential or linear then create the appropriate 'model'. H(x) 5 8 8 5 64 2 25 512 3 125 O Linear: y = (5/8) x + 1 O linear: y = (8/5)x + 1 Exponential: Q = f(t) = (1.6 )^t neither 3/ Solve the problem. Four bacteria are placed in a petri dish. The population will double every day. The formula for the number of bacteria in the dish on day t is N(t) = 4(2)^t where t is the number of days after the four bacteria are placed in the dish. How many bacteria are in the dish five days after the four bacteria are placed in the dish? 40 128 11 100 4/ The following problems ( #4 - #11 ) contain sets of data, which are listed as ordered pairs. For each of the problems you are to determine whether the given data set is representative of a linear or exponential function or neither. If it is linear or exponential, you are to create the appropriate 'model' . * Hint: it may be helpful to first setup a Data TABLE with the given ordered pairs. HERE IS YOUR FIRST DATA SET: (-1, 3), (0, 6), (1, 12), (2, 18), (3, 30) neither O Exponential: Q = f(t) = 6 (2.0)^t linear: y = -3x +6 Exponential: Q = f(t) = 6 (.50)^t 5/ Given the following data set, determine if exponential, linear or neither. Determine if it is exponential or linear, or neither. If it is exponential or linear then create the appropriate model. (-1, 2), (0, 5), (1, 8), (2, 11), (3, 14) O exponential: Q = f(t) = 5 (2/5 )at neither exponential: Q= f(t) = 5 ( 2.5 )^t linear: y = 3x +5 5/ Given the following data set, determine if exponential, linear or neither. If exponential or linear, create the appropriate model. (-1, 1/4), (0, 1), (1, 4), (2, 16), (3, 64) O exponential: Q = f(t) = 1 (4 )^t linear: y = 1/3 x + 1 O exponential: Q = f(t) = 1 ( 1/4 )^t O neither 7/ Given the following data set, determine if exponential, linear or neither. If exponential or linear, create the appropriate model. (-1, 2/3), (0, 1), (1, 3/2), (2, 9/4), (3, 27/8) O neither O exponential: Q = f(t) = 1 (2/3 )at exponential: Q = f(t) = (3/2)^t linear: y = 1/3 x +1 8/ Given the following data set, determine if exponential, linear or neither. If exponential or linear, create the appropriate model. (-1, 3/2), (0, 3), (1, 6), (2, 12), (3, 24) O exponential: Q = f(t) = 3 ( 1.5 )at exponential: Q = f(t) = 3 ( 2.0 )^t linear: y = 1.5 x + 3
