Asinger's newly announced concert on social media received 600 mentions in the first week of its announcement. the total number of mentions increases by half every week. based on this information, after how many weeks since the concert was announced will the total number of mentions increase to about 4,556?

D. The total number of mentions will increase about 4,566 after 5 weeks.

Step-by-step explanation:

Given: In the first week, the number of mentions received by social media = 600

Since, the total number of mentions increases by half every week.

Therefore, they will increase exponentially with the rate of increase = 50%=0.5

let x be the number of weeks since the concert was announced will the total number of mentions increase to about 4,556.

Then, according to the question, we have

Hence, The total number of mentions will increase about 4,566 after 5 weeks.

b or 2, just plug these equations into your graphing calculator then check the graph to see the image. if it matches up then that's your answer!

55.44 inches

step-by-step explanation:

part a. assuming a perfectly linear relationship, we can find the slope from the first two data points.

slope = m = (change in rainfall)/(change in years)

= (61.80 -62.33)/(2005 -2004) = -0.53/1 = -0.53

then the point-slope form of the equation of the line can be written as

y = m(x -h) +k . . . . . m = -0.53, (h, k) = (0, 62.33)

y = -0.53x +62.33 . . . x = years after 2004

part b. in 2017, x = 2017 -2004 = 13. then the predicted rainfall is

y = -0.53·13 +62.33 = 55.44 . . inches

the predicted rainfall in 2017 is 55.44 in.