Question

Which equation best represents the relationships between d? (algebra 1)

Answer 1

D. d = 5.25t²

Step-by-step explanation

To find which of these equations represents the relationship mentioned, we can try a few values, replacing t and checking if the result is the corresponding value of d that appears on the table.

If we try the second pair, t = 2 and d = 21 in the first option,

`d=10.5\cdot2^2=10.5\cdot4=42`

Not true, because the result is not d = 21.

The equation of the second option is similar, but the exponent of t is 3 instead of 2, so the number will be even greater than 42. Because of this, we can conclude that option B is not correct either.

The equation of option C is a linear equation, but,

`d=5.25\cdot2=10.5`

Therefore, option C is not correct.

Finally, it seems like the answer is option D,

`d=5.25\cdot2^2=5.25\cdot4=21`

If we try the other values in the table, we will find that this equation is satisfied by all of them.

Hence, the equation that represents the relationship between t and d, is d = 5.25t².