Spent $13.65 on lunch over 3 days and $36.40 on lunch over 8 days.

Question

Diego:

y = $3.95x

x = days eating lunch

y = money spent

Jackson and Diego were comparing how much each of them spend on lunch. Review the data shown above. Which statement below is true?
Responses
A Jackson spends more money on lunch each day than Diego.Jackson spends more money on lunch each day than Diego.
B Diego spends more money on lunch each day than Jackson.Diego spends more money on lunch each day than Jackson.
C Jackson and Diego spend an equal amount on lunch each day.Jackson and Diego spend an equal amount on lunch each day.
D There is not enough information to determine who spends more on lunch.

Answer 1

To determine how much Diego and Jackson spend on lunch each day, we need to analyze the provided information.

Diego's spending: The equation \( y = 3.95x \) indicates that Diego spends $3.95 for each day he eats lunch.

Jackson's spending: We can find out how much Jackson spends each day by calculating the average from the provided data.

1. Over 3 days, Jackson spends $13.65. \[ \text{Average per day} = \frac{13.65}{3} = 4.55 \]

2. Over 8 days, Jackson spends $36.40. \[ \text{Average per day} = \frac{36.40}{8} = 4.55 \]

So Jackson spends an average of $4.55 on lunch each day.

Now we compare the daily spending:

• Diego: $3.95 per day
• Jackson: $4.55 per day

Comparing these two amounts, we see that:

• $3.95 (Diego) < $4.55 (Jackson)

Therefore, the true statement is:

A. Jackson spends more money on lunch each day than Diego.