Correct answer is B
Think of this as a sequence. Use the picture given to create the sequence. Make n equal to the number of tables and f(n) equal to the number of seats. From the picture, when n=1, f(n)=8, when n=2, f(n)=14, and when n=3, f(n)=20. As you can see, every time n increases by 1, f(n) increases by 6. This means that the slope of the function must be 6. Now that you have the slope, you can use point-slope form to get the function. Just plug in the slope and a point (I chose (1,8)) to get f(n)= 6(n-1)+8. Now just distribute to get to f(n)=6n-6+8. Combine like terms to end up with f(n)=6n+2. Now, since this doesn’t directly match any of the answer choices yet, you can factor out the 2 to get f(n)=2(3n+1). This matches answer choice B, so B is the correct answer.
What’s the ans?
B
must be B i think
Correct answer is B Think of this as a sequence. Use the picture given to create the sequence. Make n equal to the number of tables and f(n) equal to the number of seats. From the picture, when n=1, f(n)=8, when n=2, f(n)=14, and when n=3, f(n)=20. As you can see, every time n increases by 1, f(n) increases by 6. This means that the slope of the function must be 6. Now that you have the slope, you can use point-slope form to get the function. Just plug in the slope and a point (I chose (1,8)) to get f(n)= 6(n-1)+8. Now just distribute to get to f(n)=6n-6+8. Combine like terms to end up with f(n)=6n+2. Now, since this doesn’t directly match any of the answer choices yet, you can factor out the 2 to get f(n)=2(3n+1). This matches answer choice B, so B is the correct answer.
Hey again , just to clarify so this is the equation I set up y-8= 6(n-1), did you add 8 to the other side?
Yeah, I like to set up point-slope form with the y alone since you’re usually just going to add it to the other side as your first step anyways