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Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

3. Function Notation

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Exercise 14 Page 125

Substitute 24 for t(x).

8

Practice makes perfect

To find the value of x that will make the function equal to 24, we will substitute 24 for t(x) in the given function rule. Then, we can solve for x.

t(x)=3x

t(x)= 24

24=3x

.LHS /3.=.RHS /3.

24/3=3x/3

Calculate quotient

8=3x/3

MovePartNumRight

a* b/c=a/c* b

8=3/3* x

a/a=1

8=1 * x

Identity Property of Multiplication

8=x

Rearrange equation

x=8

When x=8, the function equals 24.

Checking Our Answer

Verifying Our Solution

We can verify our solution by substituting x=8 into the function and evaluating.

t(x)=3x

x= 8

t( 8)=3( 8)

Multiply

t(8)=24

When x=8, t(x)=24, so our solution is correct.

Subchapter links

Communicate Your Answer p.121

Monitoring Progress p.122-124

Exercises p.125-126