A department store has a reward program for its frequent customers. For every $150 spent, a customer earns 5 reward points. Which equation represents the relationship between p, the number of reward points, and a, the totlal amount spent by a customer?

A. p=30a
B. p=5a
C. p=1/5a
D. p=1/30a

please answer and explain

A customer gets 1 point for each $30 s/he spends. Which equation shows that?

Right.

To determine the equation that represents the relationship between the number of reward points (p) and the total amount spent by a customer (a), we need to analyze the given information.

According to the information provided, a customer earns 5 reward points for every $150 spent. This implies that for every $1 spent, the customer earns 5/150 reward points or 1/30 reward points.

So, for every $1 spent (a), a customer earns 1/30 reward points (p).

Therefore, the correct equation that represents the relationship between p and a is:

p = 1/30a.

Hence, the correct answer is option D.