# algebra

posted by .

write and solve an inequality. on a trip from virginia to florida, the sampson family wants to travel at least 420 miles in 8 hours. what must be their average rate of speed?

• algebra -

rate = distance / time
= 420/8 = 52.5 mph
so any speed greater than that will give a distance greater than 420

so
rate ≥ 420/8 would do it.

• algebra -

8x ≥ 420
8x/8 ≥ 420/8
x ≥ 52.5

They would need to travel greater than or equal to 52.5 mpg to meet their expectations.

## Similar Questions

1. ### math

your family is driving to houston,texas.A sign indicates that you are 700 miles from houston.Your car's trip odometer indicates you are 400 miles from home.YOu are traveling at an average speed of 60 miles per hour. A. write an expression …
2. ### pre-algebra

your family is driving to houston,texas.A sign indicates that you are 700 miles from houston.Your car's trip odometer indicates you are 400 miles from home.YOu are traveling at an average speed of 60 miles per hour. A. write an expression …
3. ### Algebra 1

Write and solve an inequality. SOLVING MULTI- STEP INEQUALITIES On a trip from Virginia to Florida, the Sampson family wants to travel at least 420 miles in 8 hours of driving. What must be their average rate of speed?
4. ### Pre-Algebra

On a trip from Lousiana to Flordia, your family wants to travel at least 420 miles in 8 hours of driving. Write and solve an inequality to find what your average speed must be.
5. ### math

A 200-miles trip by an electric automobile must be completed in 4 hours. If it takes x number of hours to travel the first half of the distance, write an equation describing the average speed for the second half of the trip as a function …
6. ### Algebra

Norman traveled 261 miles on a trip to bates. The trip took 4 1/2 hours. If he then drives for 1 1/2 hours to leighsville, which is another 81 miles farther, what its his average rate of travel for the entire trip?
7. ### Geometry

On a trip from Virginia to Florida the Smith family wants to travel at least 420 miles in 8 hours of driving, what must their average rate of speed be?
8. ### College Algebra

A family drove 1080 miles to their vacation lodge. Because of increased traffic density, their average speed on the return trip was decreased by 6 miles per hour and the trip took 2.5 hours longer. Determine their average speed on …
9. ### Math

Antoine paid \$7.47 for 3 pounds of grapes. Write the cost of the grapes as a unit rate. Carla's family drove 420 miles in 8 hours. Write their average speed as a unit rate. Please help me!
10. ### Math

A family wants to travel at least 420 miles in 8 hours of driving. What must be their average rate of speed?

More Similar Questions