Answer:
Th inequality that represent the situation
[tex]12x<180[/tex]
Calvin took at most friends to the movie=14.
Step-by-step explanation:
We are given that Calvin took his friends to a movie for his birthday.
If x is the number of friends he took to the movie.
Cost of per movie ticket =$12
He spent money= Less than 180
Total cost is obtain by multiplying cost per ticket with number of friends.
Therefore, total cost =[tex] cost \;per\; ticket \times number \; of\; friends[/tex]
Total cost=[tex]12\times x[/tex]
Total cost =[tex]12x[/tex]
According to question we have
[tex]12x< 180[/tex]
This is required inequality that represents the situation.
To find the maximum number of friends then we solve the above inequality
Divide by 12 on both side of inequality then we get
[tex]\frac{12x}{12}<\frac{180}{12}[/tex]
By simplification we get
[tex]x< 15[/tex]
Maximum total number friends =14
Because number of friends is always natural number.
Hence, Calvin took atmost friends to the movie=14.
