1. Charlie bought a new computer for $450 with his credit card. He plans to pay the minimum payment of $25 per month. What is the rate of change, including units ?

Given:

Charlie bought a new computer for $450 with his credit card.

He plans to pay the minimum payment  of $25 per month.

To find:

The rate of change.

Solution:

Let y be the remaining amount of loan after x months.

Initial amount of loan = $450

Payment of one month = $25

Payment of x months = $25x

Now,

Remining amount = Initial amount of loan - Payment of x months

    ...(i)

The slope intercept form is

    ...(ii)

where, m is slope and b is y-intercept.

From (i) and (ii), we get

Therefore, the rate of change is -25 dollars.

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

irrational, then, just means all the numbers that aren't rational. every integer is a rational number, since each integer n can be written in the form n/1. however, numbers like 1/2, 45454737/2424242, and -3/7 are also rational, since they are fractions whose numerator and denominator are integers.

step-by-step explanation: