The amount in dollars an electrician charges in terms of the number of hours worked is represented by the function y = 22x + 42. From the function, identify all the phrases that hold true for the situation.

Only two are correct;

a) The electrician charges an initial fee of $42

b) The electrician charges $22 for every hour worked

Step-by-step explanation:

Here, we want to select all possible correct options;

Kindly understand that the equation of a straight line can be represented in the form;

y = mx + c

where m is the slope and c is the y-intercept (where x = 0)

1. The electrician charges an initial fee of $22

This is wrong. $22 represents the slope and it indicates a rate of change and not an initial fee

2. The y-variable represents the number of hours

This is wrong. What the y-variable represents is the amount charged in US dollars

3. The electrician charges an initial fee of $42

This is correct. The y-intercept value is the value when x is zero

4. The electrician charges $22 for every hour worked

This is correct. From the equation, 22 represents the change which is the slope

It is the amount charged per hour

5. The x-variable represents the electrician’s charges in dollars

This is wrong. As we can see from the question, the x-variable represents the number of hours

6. The electrician charges $42 for every hour worked

This is wrong. What $42 represents is the charge at 0 hour which means the charge at x = 0

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2     encuentren

3     tenga

4     hable

5   parezca

6   llegue

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