help pleeeeeaseeee

Question

Deandre is driving to Seattle. Suppose that the distance to his destination (in miles) is a linear function of his total driving time (in minutes). Deandre has 50 miles to his destination after 46 minutes of driving, and he has 41.6 miles to his destination after 58 minutes of driving. How many miles will he have to his destination after 68 minutes of driving?

Answer 1

(x-50)/46= x/46 -25/23

= (x-41.6)/58 = x/58 -41.6/58

how long to go after 68 minutes driving?

x/46 -25/23 = x/58 -41.6/58

x/46 - x/58 = 25/23 - 41.6/58

58x/46(58) - 46x/46(58) = 25(58)/23(58) - 41.6(23)/23(58)

12x/46(58) = [25(58)-41.6(23)]/23(58)

12x/46 = [25(58)-41.6(23)]/23

x= 46[25(58)-41.6(23)]/23(12)

= [25(58)-41.6(23)]/6

=[25(29)-20.8(23)]/3

= 246.6/3

= 82.2 = total miles before starting

50 miles to go after 46 minutes driving

having driven 32.2 miles fo 82.2 in 46 minutes

is 32.2/46 = 16.1/23 mile in one minute

in 68 minutes, that's 68(32.2)/46) = 47.6

with 82.2-47.6

= 34.6 miles to go after 68 minutes