the fixed entry is 18 $
and per ball price is 0.08 $
so the equation of expenditure is 18 + 0.08 B
here, B = no. of balls
to get the promotion offer she needs to spend 75 $ or more
so total expenditure should be 75$ or more in order to get the offer.
that is
[tex]18+0.08B\ge75[/tex]
so the answer is option B
2)
for the smallest number of paintballs that Carolina can buy along with the entrance fee to get the promotion is
[tex]\begin{gathered} 18+0.08B=75 \\ 0.08B=75-18 \\ B=\frac{57}{0.08}=712.5\text{ } \end{gathered}[/tex]
so the no. of the balls are 713 in order to get the promotion of 75 $