Urgent, asap
sales of a popular toy were about 20 million in 2000 and growing by about 5% each year. at this growth rate, the function f(x) = 20(1.05)x gives the annual number of toys sold in millions in the xth year after 2000. using this model, in about what year will the annual sales surpass 37 million?

a 2010
b 2020
c 2015
d 2013

The sales will surpass 37 million in about 2013.

Step-by-step explanation:

The answer can be found via solving an exponential inequality as follows:

Any number of years larger than 12.6 will satisfy the inequality, i.e., after more than 12.6 years from year 2000, the annual sales will surpass 37 million. The answer to the exact question will then be: in about 2013 the sales will surpass 37 million.

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explanation

the graph has a slope of 1/3 because each time you move up 1, you go to the right 3. so, slope = rise/run = 1/3. we can cross choice a off the list since we want a slope of 3, rather than 1/3.

the first table shown has a slope of -3. this is because the rise is -6 and the run is 2, so slope = rise/run = -6/2 = -3. note how x increases by 2 each time (run) and y drops by 6 each time (rise). choice b can be eliminated.

the second table has a slope of 3. each time x goes up by 1, the y values increase by 3. slope = rise/run = 3/1 = 3. alternatively you can use the slope formula to prove that the slope is 3 here. use any two rows of values to generate the two points. choice c is one of the answers

the third table also has a slope of 3. let's use the slope formula to prove as such. i'm going to use the first two rows of the table. so i'll use the two points (2,1) and (5,10)

m = slope

m = (y2-y1)/(x2-x1)

m = (10-1)/(5-2)

m = 9/3

m = 3 so we get a slope of 3

choice d is the other answer

step-by-step explanation: