Question

The largest doll is 12 inches tall. The height of each of the other dolls is 7/10

the height of the next larger doll. Write an expression involving a power that represents the height of the smallest doll.



The expression is what?



What is the height of the smallest doll? Round your answer to the nearest tenth.

The height of the smallest doll is what?

( inches.)

Answer 1

the height of the smallest doll is approximately 24.49 inches when rounded to the nearest tenth.

Explanation:

We can use the given information that the height of each doll is 7/10 the height of the next larger doll.

(Let's represent the height of the smallest doll as x inches.)

According to the Question, The height of the next larger doll would be (7/10)x inches.

Applying the same rule again, the next larger doll's height would be (7/10)((7/10)x) = (49/100)x inches.

Continuing this pattern, the height of the largest doll is given as 12 inches.

Setting up an equation, we can equate the height of the largest doll with the height of the largest doll (12 inches) being represented by (49/100)x:

(49/100)x = 12 inches

To find the height of the smallest doll, we solve this equation for x:

x = (12 inches)/(49/100) ≈ 24.49 inches

= 24.49 inches.