Question

Aisha needs to be at least 48 inches tall to ride the colossal coaster at the amusement park. If she grows 5 inches during the next year, Aisha will still not be tall enough to ride. In the context of this situation, what does the inequality x<43 represent A.After next year, Aisha still needs to grow 43 more inches to ride. B.Aisha is less than 43 inches tall right now. C.Aisha needs to grow 43 more inches to ride. D.Aisha is at least 43 inches tall now.

Answer 1

x < 43, implies that the height of Aisha is less than 43 and can't be equal to 43 ( as there is no equal operator)

A is wrong as the inequality does not imply that Aisha is 0 tall , but any height height from 0 to 42.99999...

B) Correct , Aisha is not 43 and less she is less than that.

C) no, she may just need to grow 1 or 2 inches who knows.

D) nope, Aisha is at most 43 ( at least = 43 or taller)

at most 43 or less

Answer 2

B. Aisha is less than 43 inches tall right now.

Explanation:

The given inequality is :

`x<43`

Given is :

Aisha needs to be at least 48 inches tall to ride the colossal coaster at the amusement park. If she grows 5 inches during the next year, Aisha will still not be tall enough to ride.

Let x be the present height of Aisha an she grows 5 inches during the next year.

So, her height in next year =
`x+5`

Aisha needs to be at least 48 inches tall to ride, so for next year height, the equation becomes:

`x+5\leq 48`

Given is that next year Aisha will still not be tall enough to ride.

⇒
`x+5<48`

⇒
`x<43`

So, Aisha is less than 43 inches tall right now.