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In the exponential growth model y = 2.4(1.5)x, identify the initial amount, the growth factor, and the percent
increase.



Sagot :

Answer:

x=8

Step-by-step explanation:

1

(x+2)=

2

1

(x−4)

Use the distributive property to multiply  

5

1

 by x+2.

5

1

x+

5

1

×2=

2

1

(x−4)

Multiply  

5

1

 and 2 to get  

5

2

.

5

1

x+

5

2

=

2

1

(x−4)

Use the distributive property to multiply  

2

1

 by x−4.

5

1

x+

5

2

=

2

1

x+

2

1

(−4)

Multiply  

2

1

 and −4 to get  

2

−4

.

5

1

x+

5

2

=

2

1

x+

2

−4

Divide −4 by 2 to get −2.

5

1

x+

5

2

=

2

1

x−2

Subtract  

2

1

x from both sides.

5

1

x+

5

2

2

1

x=−2

Combine  

5

1

x and −

2

1

x to get −

10

3

x.

10

3

x+

5

2

=−2

Subtract  

5

2

 from both sides.

10

3

x=−2−

5

2

Convert −2 to fraction −

5

10

.

10

3

x=−

5

10

5

2

Since −

5

10

 and  

5

2

 have the same denominator, subtract them by subtracting their numerators.

10

3

x=

5

−10−2

Subtract 2 from −10 to get −12.

10

3

x=−

5

12

Multiply both sides by −

3

10

, the reciprocal of −

10

3

.

x=−

5

12

(−

3

10

)

Multiply −

5

12

 times −

3

10

 by multiplying numerator times numerator and denominator times denominator.

x=

5×3

−12(−10)

Do the multiplications in the fraction  

5×3

−12(−10)

.

x=

15

120

Divide 120 by 15 to get 8.

x=8