Consuela is planning her 7-day vacation. She has budgeted $250 to rent a moped for the week. The rental company charges $10 a day plus 30 cents per mile. Write and solve a first degree inequality to determine the number of miles (m) consuela can drive and still stay within her budget.

Answer:The equation is [tex]0.3x\leq 180[/tex] and  consuela can drive maximum  600 miles.Step-by-step explanation:Given:Consuela Budget= [tex]\$250[/tex]Rental Company Charges = [tex]\$10 \ per\ day[/tex]Additional Cost = 30 cents per mile = $0.3 per miles.Number of days for vacation = 7 We need to find the number of miles Consuela can drive and still be in budget.Let number of miles she can drive be [tex]x[/tex]Rental Company Charges for per day [tex]\times[/tex] number of days + Additional Cost per mile [tex]\times[/tex] Number of miles she can drive sholud be less than or equal to Consuela BudgetNow the equation will be.[tex]10\times 70 +0.3x \leq 250\\70 +0.3 x\leq 250\\0.3x\leq 250-70\\0.3x\leq 180\\x\leq \frac{180}{0.3}\\\\x\leq 600 \ miles[/tex]Hence Consuela can drive maximum of 600 miles to stay within her budget.