Question

1. melinda is riding a train to her grandmas house. the train travels at a constant rate of 45 miles per hour. which table represents the relationship between ( h ), the number of hours melinda travels, and ( d ), the distance she travels over a certain length of time?

a

( h )	( d )
3	90
5	135

b

( h )	( d )
3	135
5	225

c

( h )	( d )
2	135
3	225

d

( h )	( d )
2	45
3	45

Explanation:

Step1: Recall the distance formula

The formula for distance \( d \) with a constant rate \( r \) and time \( h \) is \( d = r\times h \). Here, the rate \( r = 45 \) miles per hour, so \( d=45h \).

Step2: Check each table

• Table A: For \( h = 3 \), \( d \) should be \( 45\times3 = 135 \), but the table has \( d = 90 \). So A is incorrect.
• Table B: For \( h = 1 \), \( d=45\times1 = 45 \); for \( h = 3 \), \( d = 45\times3=135 \); for \( h = 5 \), \( d=45\times5 = 225 \). All values match the formula \( d = 45h \).
• Table C: For \( h = 2 \), \( d \) should be \( 45\times2=90 \), but the table has \( d = 135 \). So C is incorrect.
• Table D: For \( h = 2 \), \( d \) should be \( 45\times2 = 90 \), but the table has \( d = 45 \). So D is incorrect.

Answer:

B. \(

$$\begin{array}{|c|c|} \hline h & d \\ \hline 1 & 45 \\ \hline 3 & 135 \\ \hline 5 & 225 \\ \hline \end{array}$$

\)