The credit remaining on a phone card (in dollars) is a linear function of the total calling time made with the card (in minutes). The remaining credit after minutes of calls is , and the remaining credit after minutes of calls is . What is the remaining credit after minutes of calls?

Answer and Step-by-step explanation: Suppose remaining credit is y and time in minutes is x. To determine a value of y corresponding to a value of x, first find the equation for the function.

Since the function is linear, the equation is of the form: y = mx + b. To determine it:

1) Find slope, or inclination, of the line:

slope (m) =

where x's and y's are points of the function.

2) Determine the y-intercept, or b: Use a point of the function, replace them at the equation, y = mx + b, and find b.

3) The equation will be: y = mx + b

With the equation, replace x for the minutes the question is asking and calculate to find the remaining credit.

Th result will be a pair (x,y)

See answers below

Step-by-step explanation:

1. If two parallel lines cut by a transversal, then the two same-side interior angles  are equal

2.  (4x + 3 )+ (x + 2) = 180

       5x + 5 = 180

      5x = 175

        x = 35

3.    one angle = 4(35) +3 = 143°

      the other angle = 35 + 2 = 37°