Each day Julian gives his dog, banjo, 3 liters of water and 500 grams of food. Julian wants to track the total amount of the food and water he gives banjo for one week. Julian plots a point at (3,500) to represent the first day on a coordinate grid then Julian uses a pattern to plot six more points.

Question

Describe the pattern of the points that represent the total amount food and water Julian gives banjo in one week. Enter your answers in the box to complete the pattern.

Each day, the X-coordinate increases by
_________ , and the y-coordinate increases
by________

Answer 1

To track the total amount of food and water Julian gives Banjo over one week, we can analyze the point (3, 500) which represents Day 1, where the X-coordinate is the total liters of water and the Y-coordinate is the total grams of food.

Every day, Julian gives Banjo:

• 3 liters of water
• 500 grams of food

To determine the pattern:

1. X-coordinate (water):

   • Initial X (Day 1) = 3 liters
   • For each additional day, he gives another 3 liters of water.
   • So, the X-coordinate increases by 3 liters each day.

2. Y-coordinate (food):

   • Initial Y (Day 1) = 500 grams
   • For each additional day, he gives another 500 grams of food.
   • So, the Y-coordinate increases by 500 grams each day.

Thus, we summarize the pattern as follows:

Each day, the X-coordinate increases by 3 liters, and the Y-coordinate increases by 500 grams.