Jamie and Linda are having a contest to see whose photo will get more "likes" on social media.
Jamie's photo got 75 likes by the end of the first day and is getting 36 more likes each day.
Linda's likes can be modeled by the function f(x)=18(2)x.
Which statements are true? Select all that apply.
Hint: Use a table or graph to compare the number of likes that Jamie and Linda get. Remember that the value of the function at x=1 represents number of likes at the end of the first day.
To answer this question, we need to compare the number of likes that Jamie and Linda get each day.
We know that Jamie's photo got 75 likes by the end of the first day and is getting 36 more likes each day. We can create a table to represent the number of likes Jamie gets each day:
Day 1: 75 likes
Day 2: 75 + 36 = 111 likes
Day 3: 75 + 36 + 36 = 147 likes
Day 4: 75 + 36 + 36 + 36 = 183 likes
Now let's look at Linda's likes, which can be modeled by the function f(x) = 18(2)^x. We can also create a table to represent the number of likes Linda gets each day:
Day 1: f(1) = 18(2)^1 = 18(2) = 36 likes
Day 2: f(2) = 18(2)^2 = 18(4) = 72 likes
Day 3: f(3) = 18(2)^3 = 18(8) = 144 likes
Day 4: f(4) = 18(2)^4 = 18(16) = 288 likes
Now we can compare the number of likes that Jamie and Linda get each day using the tables above.
Based on the tables, the following statements are true:
1. Jamie's photo got more likes than Linda's photo on day 1. (75 > 36)
2. Linda's photo got more likes than Jamie's photo on day 2. (72 > 111)
3. Linda's photo got more likes than Jamie's photo on day 3. (144 > 147)
4. Linda's photo got more likes than Jamie's photo on day 4. (288 > 183)
So, statements 1, 2, 3, and 4 are all true.