Rate of Change Worksheets Grade 8

1. Maya is tracking the growth of her bamboo plant. She notices it grows at a constant rate each week. After 4 weeks, the plant is 2.8 meters tall, and after 8 weeks, it reaches 4.4 meters tall. What was the initial height of the bamboo plant when Maya started tracking it?
2. (4.2 × 10⁵) ÷ (6 × 10²) = ?
3. Liam is tracking the growth of his sunflower plant. After 2 weeks, the plant was 8 inches tall. After 6 weeks, it had grown to 20 inches tall. If the plant continues to grow at the same constant rate, what was its initial height when Liam first started measuring?

…and 5 more problems

1. (4.2 × 10⁵) × (2.5 × 10³) = ?
2. A linear function has a slope of 6 and passes through the point (0, 11). What is the initial value of the function?
3. A linear function models the amount of water in a tank. The function has a slope of 7 and passes through the point (0, 13). What is the initial value of the function?

…and 5 more problems

1. Liam is tracking the growth of his sunflower plant. In the first week, it grew 8 centimeters. Each subsequent week, it grew 75% of the amount it grew the previous week. What is the total height the sunflower will have grown after a very long time, starting from its initial growth?
2. Mason is examining a line graph that shows the total amount of money saved in a bank account over time. The graph is a straight line. The line passes through the point (0, 28) and the point (12, 172). The x-axis represents time in weeks, and the y-axis represents the total savings in dollars. What does the slope of this line represent in the context of the savings account, and what is its value?
3. Emma's savings account balance increases by $25 each week. After 10 weeks, the balance is $350. What is the initial value of the function representing the balance over time?

…and 5 more problems