Answer :
I think this is linear, based on the steps.
If you were to look at this in a graph, step 1 would be a flat line.
Step 2 would go up steadily as 10% is added.
Step 3, the beans would grow at a +2 rate.
After each harvest, the plants would steadily decrease at 15%.
I hope I helped!!
If you were to look at this in a graph, step 1 would be a flat line.
Step 2 would go up steadily as 10% is added.
Step 3, the beans would grow at a +2 rate.
After each harvest, the plants would steadily decrease at 15%.
I hope I helped!!
In Richie's scenario, planting seedlings each day and the beans' growth rate are linear relationships due to constant rates of change. Conversely, the water increase and tomato yield decreases are exponential due to their percentage-based changes over time.
Understanding whether something is a linear or exponential relationship is key in various mathematical and scientific contexts. If we examine the activities of Richie and the growth patterns of the plant, we can determine the nature of the growth. Planting 10 square feet of seedlings each day represents a constant rate of increase, which correlates to a linear function, given that the amount does not change day by day—it increases by the same amount.
However, when Richie increases the amount of water by 10% each week for two months, this is an example of an exponential function because the increase is based on the previous week's amount of water, which means it grows proportionally larger over time.
The growth rate of Richie's beans at 2 centimeters per day is another linear function, as the growth is by a constant amount each day. On the contrary, the tomato plant yield decreasing by 15% after each harvest signifies exponential decay because with each harvest, the yield is reduced by a percentage of the previous yield, not by a fixed amount.
As we can observe from these examples, exponential growth or decay occurs when something increases or decreases by a certain percentage over intervals, resulting in a rate of change that is not constant. Meanwhile, linear growth is characterized by a constant rate of increase or decrease.