The function f(x) = 5(1.24)x models the length (cm) of a lizard from the beginning of its life. according to the model, which represents the length of the lizard at the beginning of its life? a.1.24 b.5 c. x d. y

b. 5

Step-by-step explanation:

Given : The function ,models the length (cm) of a lizard from the beginning of its life.

Here the length of the lizard depends upon the time from the beginning, so x must be representing the time period from the beginning .

The general exponential equation is given by :-

, where A is the initial value , b is the growth factor and x is the time.

Comparing the given equation to the general equation , we get, the length of the lizard at the beginning of its life = 5 cm

Hence, 5 represents the length of the lizard at the beginning of its life .

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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

both triangles are similar because 2 is just smaller than the big one 1 is similar because they are facing different way's but are similar to each other

step-by-step explanation: