Question

The ABC cell phone company offers a plan that includes a flat rate fee of $29 per month plus a $0.12 charge per minute.write an equation to find C, the total monthly cost for m mintues. then solve the equation for m=50. please show work.

Answer 1

Cost per month is 29 + 0.12m
C = 29+0.12m

m=50
C = 29 + 0.12*50
C = 29 + 6
C = 35

Answer 2

Rate fee=$29
charge per minute=$0.12
C(m)=function that represents the total monthly cost.
m=number of minutes spoken.

The equation would be:
C(m)=0.12m + 29      
 
This is similar to the slope-intercept form of a line;
y=mx +b

m=slope
b=y-intercept

but we have written, C(x) instead of y;   0.12 instead of m, and 29 instead of b.

if m=50;
C(50)=0.12(50)+29=6+29=35

Answer: the equation would be: C(m)=0.12m+29; if we talk 50 minutes that month the cost would be $35.