A truck can be rented from basic rental for $50 a day. in addition you have to pay .20 cents per mile. Cont. truck charges $20 per day in addition to 50 cents per mile. How many miles must you drive in a day to make the rental cost for basic a better deal than Cont.?

50+.2m<20+.5m

subtract 20 from each side, and subtract .2m from each side.

30<.3m
100<miles

To determine how many miles you must drive in a day to make the rental cost for Basic a better deal than Cont., we need to set up an equation. Let's denote the number of miles you need to drive as "m."

For the Basic rental option:
Rental cost = $50 (per day) + $0.20 (per mile)
Total cost = $50 + $0.20m

For the Cont. rental option:
Rental cost = $20 (per day) + $0.50 (per mile)
Total cost = $20 + $0.50m

Now we set up the inequality to find the point at which Basic is cheaper than Cont.:
$50 + $0.20m < $20 + $0.50m

Next, let's simplify the equation:
$0.20m - $0.50m < $20 - $50
-$0.30m < -$30

To solve for "m," we divide both sides of the equation by -$0.30, but remember that when we divide an inequality by a negative number, the inequality must be flipped:
m > (-$30)/(-$0.30)
m > 100

Hence, you would need to drive more than 100 miles in a day for the rental cost of Basic to be a better deal compared to Cont. rental.