Exercise 14 Page 125

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

Substitute

t(x)= 24

24=3x

DivEqn

.LHS /3.=.RHS /3.

24/3=3x/3

CalcQuot

Calculate quotient

8=3x/3

MovePartNumRight

a* b/c=a/c* b

8=3/3* x

QuotOne

a/a=1

8=1 * x

IdPropMult

Identity Property of Multiplication

8=x

RearrangeEqn

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

Substitute

x= 8

t( 8)=3( 8)

Multiply

Multiply

t(8)=24

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