Question

Vanessa walks from her house to a bus stop that is 400 yards away. If Vanessa is 22 yards from her house, how far is she from the bus stop? yards Preview 400 − 22 = 400-22= 378. If Vanessa is 163.4 yards from her house, how far is she from the bus stop? yards Preview 400 − 163.4 = 400-163.4= 236.6. Let the variable x x represent Vanessa's varying distance from her house (in yards). As Vanessa walks from her house to the bus stop, the value of x x varies from to . How many values does the variable x x assume as Vanessa walks from her house to the bus stop? Preview

Answer 1

`0\le x\le 400`

x can take infinitely many values

Explanation:

Vanessa walks from her house to a bus stop that is 400 yards away.

• If Vanessa is 22 yards from her house, how far is she from the bus stop? Preview: 400 − 22 = 400 - 22 = 378 yards.
• If Vanessa is 163.4 yards from her house, how far is she from the bus stop? Preview: 400 − 163.4 = 400 - 163.4 = 236.6 yards.

Let the variable x represent Vanessa's varying distance from her house (in yards). Then 400 - x yards is how far Vanessa is from the bus stop.

The variable x can take any value from 0 to 400 (0 when Vanessa is at home and 400 when Vanessa is at bus station), so

`0\le x\le 400`

x can take infinitely many values, because there are infinitely many real numbers between 0 and 400.