AKS 47 - Identify Linear vs Exponential

Sort the following items into the correct groups Determine if each table, graph, equation, or scenario is a linear increasing function or an exponential growth function. Increasing Linear Function Your mom gives you $65 a week to pay for school supplies Your internet plan has a one-time fee of $50 and then it is $75 per month afterwards {(-2,-5) , (0, -2) , (1, -0.5), (2,1)} {(-2, -1) , (-1, 2), (0,5) , (1,8) , (2,11)} Exponential Growth Function The growth rate of bacteria triples every hour Your investment in Lyft increase by 3% per year. {(-2, 2 , (-1, 2 , (0,2) , (1,6)} {(-1, 1 , (0, 1 , (1,2)} Decreasing Linear Function Your evil sister steals fifty cents from you every day. Your grade goes down by 10 points everyday you don't turn in your assignment. {(-2,7),(-1, 3),(0,-1),(1, -5)} {(-1, 6.5) , (0,6) , (1, 5.5) , (2, 5)} Exponential Decay Function You buy a car for $30,000 and it's value depreciates by 19% per year Your sick goldfish loses half of it's body weight every week. {(-2, 36) , (-1, 12) , (0,4) , (1, 4 {(-2, 500) , (-1,100) , (0,20) , (1,4) , (2,4 Matching Vocab Match the following vocabulary with it's correct definition. slope the steepness of a line y-intercept where the function crosses the y-axis and where the x-value(s) are 0. first term a1, the starting value in the sequence common difference d, the pattern in the sequence that is found by adding some constant term number n, the term in the sequence that you are looking for Linear Equation modeled by y = mx + b or Ax + By = C Arithmetic Sequence a list of numbers where a common difference is used to find the next term in the sequence Increasing Linear Function A linear function where the slope is positive, y-values increase from left to right Decreasing Linear Function A linear function where the slope is negative, y-values decrease from left to right Matching Vocab Match the following vocabulary with it's correct definition. Exponential Growth when b > 1, b = 1 + r Exponential Decay when 0 Answer all parts of the following question in complete sentences. a) How do you decide whether an equation is linear or exponential?b) What values do you look at in a table to determine it's pattern? Answer all parts of the following question in complete sentences. a) What variable of a linear equation tells you whether it is increasing or decreasing?b) What form should it be in to identify this variable?c) What variable of an exponential equation tells you whether it's growth or decay? Answer all parts of the following question in complete sentences. a) What kind of a sequence has a pattern of adding some constant?b) Make up an example of the sequence from part a.c) What kind of sequence has a pattern of multiplying some constant?d) Make up an example of the sequence from part c.