A local diner has started selling cupcakes and is using the bar chart given below to keep track of how many are sold each day. How many cupcakes will be sold on day n?

 4n-3

Explanation:

day 1 = 1 sold

day 2 = 5 sold

day 3 = 9 sold

day 4 = 13 sold

Each time we're going up by 4. This is effectively the slope of the line since it represents the rate of change. The starting amount sold (1) is the y intercept

So we go from y = mx+b to y = 4x+1

Afterward, replace x with n to get 4n+1

On day n = 0, we have 4n+1 = 4(0)+1 = 1 sold. While this is correct, it doesn't really help to start with day 0 and it's better to start with day 1 instead.

What we can do is replace n with (n-1) and then simplify

4(n-1)+1 = 4n-4+1 = 4n-3

Now plugging in n = 1 leads to 4n-3 = 4(1)-3 = 1

Plugging in n = 2 leads to 4n-3 = 4(2)-3 = 5

and so on.

answer: input the dimensions of the room to be painted. click the button to calculate the amount of paint and man-hours needed for this job.

interior paint coverage depends on the brand of paint used. the coverage amount is listed on the label of the paint can. use this to adjust the values in the paint coverage section below. paint usually is applied at 350 to 400 square feet per gallon (primer at 200 to 300 square feet per gallon).

step-by-step explanation:

i believe it's a.

i'm not sure on this one, most likely correct.