Erik took a trip to see his friend Mike who lives 308 miles away. He left his place at 10 AM driving at 70 mph. In 2 hours, his friend Mike left his place driving towards Erik at an average speed of 50 mph. At what time will they meet?

They will meet each other at 01 : 24 PM

Step-by-step explanation:

Distance = Speed × Time

When two person travel towards each other and start at the same time, then the distance between them is the sum of the distance each one will travel.

∵ Erik took a trip to see his friend Mike who lives 308 miles away

∴ The distance between Eric and Mike = 308 miles

∵ Eric left his place at 10 AM driving at 70 mph

∴ Eric's speed = 70 miles/hour

After two hours Mike left his place driving towards Erik

Assume that Eric's time is t hours

∵ Eric's time = t hours

∵ Mike started after Eric by two hours

∴ Mike's time = t - 2

∵ Mike drove at an average speed of 50 mph

∴ Mike's speed = 50 miles/hour

∵ Eric's distance + Mike's distance = 308

∵ Distance = Speed × Time

∴ Eric's distance = 70 × t = 70 t miles

∴ Mike's distance = 50 × (t - 2) = 50(t) - 50(2) = 50 t - 100 miles

∴ 70 t + 50 t - 100 = 308

- Add the like terms in the left hand side

∴ 120 t - 100 = 308

- Add 100 to both sides

∴ 120 t = 408

- Divide both sides by 120

∴ t = 3.4 hours

∵ 1 hour = 60 minutes

∴ 0.4 × 60 = 24 minutes

∴ t = 3 hours and 24 minutes

∴ They meet each other after 3 hours and 24 minutes from

   Eric started time

∵ Eric started at 10 AM

- Add 3 hours after 10 ⇒ 11 AM , 12 AM , 01 PM, then add 24 minutes

∴ They will meet each other at 01 : 24 PM

step-by-step explanation:

i dont get

part a

in a city ice cream is mostly only bought when the temperature is very high as ice cream cools down our

so we can derive the conclusion that as the temperature increases the number of ice creams sold also increases

part b

y intercept is 5

slope is 2

happy to

pls mark as brainliest