The first function is linear. When you subtract 5.5 from 7, you get 1.5 and when you subtract 7 from 8.5 you also get 1.5. That's how we know it's a linear function because there's clearly pattern. HOWEVER, if you had 5.5, 7, and 9 that would not be a linear function. Why? Because when you take away 7 from 9 you get 2. In order for it to be a linear function you have to get the same exact number when you subtract.
<span>x 0 3 6 f(x) 1 8 64</span>
The second function is exponential because when you divide you get the exact same number. 8/1 = 8 and 64/8 = 8. So this is exponential. But if you had 72 instead of 64 it would not be an exponential function because there has to be a pattern.
I hope this makes sense. Btw I had this question on my test too and this is correct.
HIs debt in his credit card is 15 600 dollars => 15 600 - 8500 dollars = 7100 dollars is his remaining debt. Now, he wants to pay it in 24 months only with annual interest of 18% => <span> 7100 dollars * .18 = 1278 dollars is the interest => 7100 + 1278 = 8 378 => 8378 / 12 = 698.17 dollars per month.</span>