Total number of video rentals is 12 for the plans A and B to cost the same amount.
What is Algebraic expression ?
Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.
Here, it is given that for plan A renting video games required $5 monthly fee and $1 per video rental, Let number of video rentals be x then :
total monthly fees for plan A = 5 + 1x
and similarly for plan B when renting video games required $8 monthly fee
and $0.75 per video rental :
total monthly fees for plan B = 8 + 0.75x
Now to have total monthly cost same these two equation must be equal :
5+x = 8 + 0.75x
0.25x = 3
x = 12
Therefore, total number of video rentals is 12 for the plans A and B to cost the same amount.