A prepaid cell phone company charges $20 per month plus an additional $0.04 per minute for all calls.How much will it cost to use 275 minutes in one month?How much will it cost to use 700 minutes in one month?Write an algebraic expression to represent the total cost.

Answer:Part a) [tex]y=0.04x+20[/tex]Part b) The total cost is $31Part c) The total cost is $48Step-by-step explanation:Part a) Write an algebraic expression to represent the total costLetx -----> the number of minutes for all calls in a monthy ----> the total cost in dollars per monthwe know thatThe linear equation in slope intercept form is equal to[tex]y=mx+b[/tex]wherem is the slope or unit rate of the linear equationb is the y-intercept or initial value of the linear equationIn this problem we haveThe unit rate or slope is equal to[tex]m=\$0.04\ per\ month[/tex]The initial value or y-intercept (value of y when the value of x is equal to zero) is[tex]b=\$20[/tex]substitute[tex]y=0.04x+20[/tex]Part b) How much will it cost to use 275 minutes in one month?For x=275 minutessubstitute the value of x in the linear equation and solve for y[tex]y=0.04(275)+20[/tex][tex]y=31[/tex]thereforeThe total cost is $31Part c) How much will it cost to use 700 minutes in one month?For x=700 minutessubstitute the value of x in the linear equation and solve for y[tex]y=0.04(700)+20[/tex][tex]y=48[/tex]thereforeThe total cost is $48