Respuesta :
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 Budget
Now 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.
