At age of 2 years, a cat or a dog is considered 24 “human” years old. Each year, after age 2 is equivalent to 4 “human” years. Fill in the expression [24 + [](a - 2)] so that it represents the age of a cat or dog in human years. Also, you need to determine what ‘a’ stands for. Copy the chart and use your expression to complete it

Solution:

Given, at the age of 2 years, a cat or a dog is considered 24 “human” years old.

Each year, after age 2 is equivalent to 4 “human” years.

We have to fill in the expression [24 + [](a - 2)] so that it represents the age of a cat or dog in human years.

We have to determine what ‘a’ stands for.

⃞ = 4

Therefore, the expression becomes [24 + 4(a - 2)]

‘a’ represents the present age of a cat or a dog

For a = 2,

[24 + 4(a - 2)] = [24 + 4(2 - 2)]

= [24 + 4(0)]

= 24

For a = 3,

[24 + 4(a - 2)] = [24 + 4(3 - 2)]

= 24 + 4

= 28

For a = 4,

[24 + 4(a - 2)] = [24 + 4(4 - 2)]

= 24 + 8

= 32

For a = 5,

[24 + 4(a - 2)] = [24 + 4(5 - 2)]

= 24 + 12

= 36

For a = 6,

[24 + 4(a - 2)] = [24 + 4(6 - 2)]

= 24 + 16

= 40

✦ Try This: If 7 is added to five times a number, the result is 57. Find the number

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 12

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NCERT Exemplar Class 7 Maths Chapter 10 Problem 99

At age of 2 years, a cat or a dog is considered 24 “human” years old. Each year, after age 2 is equivalent to 4 “human” years. Fill in the expression [24 + [](a - 2)] so that it represents the age of a cat or dog in human years. Also, you need to determine what ‘a’ stands for. Copy the chart and use your expression to complete it

Summary:

At the age of 2 years, a cat or a dog is considered 24 “human” years old. Each year, after age 2 is equivalent to 4 “human” years. The expression is [24 + 4(a - 2)]. ‘a’ stands for the present age of a cat or a dog.

Age [24 + 4(a - 2)]    Age(human years)

2      [24 + 4(2 - 2)]    24

3      [24 + 4(3 - 2)]    28

4      [24 + 4(4 - 2)]    32

5      [24 + 4(5 - 2)]    36

6      [24 + 4(6 - 2)]    40

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☛ Related Questions:

• Express Commutative property of addition with variables x and y.
• Express Commutative property of multiplication with variables x and y
• Express Associative property of addition with the variables x, y and z