8. Suppose you are driving to visit a friend in another state. You are driving 55 miles per hour. You must drive 440 miles total. If you have already driven 275 miles, how long will it take you to reach your destination? Use h to represent the number of hours it will take to reach your destination. Use the equation 55h + 275 = 440. (1 point)
30 hours
2 hours
3 hours
1 hours
It will take 3 hours to reach your destination.
Explanation:
To solve for h, we need to isolate it on one side of the equation.
55h + 275 = 440
Subtract 275 from both sides:
55h = 165
Divide both sides by 55:
h = 3
Therefore, it will take 3 hours to reach your destination.
9. Write an inequality for the situation.
Julia scored at least 20 points. (1 point)
k greater than or equal to 20
k < 20
k > 20
k less than or equal to 20
k greater than or equal to 20
To find out how long it will take you to reach your destination, we can use the equation 55h + 275 = 440, where h represents the number of hours it will take.
Let's solve the equation step by step:
1. Subtract 275 from both sides of the equation:
55h + 275 - 275 = 440 - 275
55h = 165
2. Divide both sides of the equation by 55:
55h/55 = 165/55
h = 3
Therefore, it will take you 3 hours to reach your destination. So the correct answer is 3 hours.