Math  /  Numbers & Operations

QuestionAngela Blackmon 12/12/24 12:35 PM
2 Operations on Decimals Question 11, 7.2.A-16 HW Score: 26.47%,926.47 \%, 9 of 34 points Points: 0 of 1 Save
Suppose that to predict how tall a four-year-old will be at age 12, you multiply his or her height by 1.5 . If Allie is 105.5 cm when she turns 4 , predict how tall she will be when she turns 12.
Allie will be \square cm tall. (Type an integer or a decimal.)

Studdy Solution

STEP 1

What is this asking? If we multiply Allie's height at age 4 by **1.5**, how tall will she be at age 12? Watch out! Don't forget to include the units in your final answer!

STEP 2

1. Multiply Allie's height by the given factor.

STEP 3

Allie's height at age 4 is **105.5 cm**.
We're told to multiply this by **1.5** to predict her height at age 12.
So, we have 105.51.5105.5 \cdot 1.5.

STEP 4

Let's break this down!
We can do 105.51.5=105.5(1+0.5)105.5 \cdot 1.5 = 105.5 \cdot (1 + 0.5).
This is the same as (105.51)+(105.50.5)(105.5 \cdot 1) + (105.5 \cdot 0.5).
We know 105.51=105.5105.5 \cdot 1 = 105.5.
Now, 105.50.5105.5 \cdot 0.5 is just half of 105.5105.5, which is 52.7552.75.
So, we have 105.5+52.75105.5 + 52.75.

STEP 5

Adding those together, 105.5+52.75=158.25105.5 + 52.75 = 158.25.
So, 105.51.5=158.25105.5 \cdot 1.5 = 158.25.

STEP 6

Allie will be **158.25 cm** tall when she turns 12.

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