The bus fare in a city is $1.50 People who use the bus have the option of purchasing a monthly coupon book for $30.00 With the coupon book, the fare is reduced to 50 Determine the number of times in a month the bus must be used so that the total monthly cost without the coupon book is the same as the total monthly cost with the coupon book.

Step-by-step explanation:

let x be the number of rides

y is the total cost

the model for cost for people who use coupon is given as

y=1.5x+301

for people without coupon

y= 50x2

equating 1 and 2 we can find x

50x=1.5x+30

collect like terms

50-1.5x=30

-1.5x=30-50

-1.5x=-20

x=20/1.5

x=13.33

The number of times in a month the bus must be used so that the total monthly cost without the coupon book is the same as the total monthly cost with the coupon book is 13.33

answer: slight chance that it will happen

step-by-step explanation:

about 168 miles

step-by-step explanation: