Question

My average speed is 60 miles per hour. If it takes me 4 hours to get to Austin, how many miles away is it? Remember—show all work!

6. By what factor would the area of the largest face of your block change if the length, width, and height of the block were each doubled? (In other words, what would the total area be multiplied by—do not tell me the new area, but what the old area was multiplied by to get the new area.)

Answer 1

To find the distance to Austin, we can use the formula: distance = speed × time. In this case, your average speed is 60 miles per hour and it takes you 4 hours to get to Austin.
So, distance = 60 miles/hour × 4 hours.
Multiplying the values, we get: distance =
240 miles.
Therefore, Austin is 240 miles away from your starting point.
Regarding the second question about the block, if the length, width, and height of the block were each doubled, the new total area would be multiplied by a factor of 4. This is because the total area of the largest face of the block is determined by multiplying the length and width of that face. When both the length and width are doubled, the new total area would be 4 times the original area.