The percentage of households in the u. S. With cable television increased from 22.5%in 1980 to 68% in 2000. What was the increase in the percent of household with cable television?

 The increase in the percent of household with cable television = 45.5%.

Step-by-step explanation:

Given : The percentage of households in the u.S. With cable television increased from 22.5% in 1980 to 68% in 2000.

i.e. Previous percentage in 1980  = 22.5%

New percentage in 2000= 68%

Now , the increase in percentage = (New percentage) - ( Previous percentage )

= 68% - 22.5%

= 45.5%

Hence, the increase in the percent of household with cable television = 45.5%.

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places

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