Loon lake has a "killer plant" problem similar to Ghost Lake. Currently, 5000 square feet of the lake is covered with the plant, The area covered is growing by a factor of 1.5 each year. Complete the table to show area covered by the plant for the next 5 years.
0 = 5000
1 = ?
I don't know if I should add or multiply.
Multiply.
After 1 year: 5000 * 1.5 = 7500 plants
To determine the area covered by the plant for the next 5 years, we need to understand the growth pattern mentioned. The growth pattern states that the area covered by the plant is growing by a factor of 1.5 each year.
In this case, "factor of 1.5" means that the area covered is multiplied by 1.5 each year. So, to find the area covered in each subsequent year, we need to multiply the previous year's area by 1.5.
Now, let's complete the table:
0 = 5000 (Given)
1 = 5000 * 1.5 = 7500
2 = 7500 * 1.5 = 11250
3 = 11250 * 1.5 = 16875
4 = 16875 * 1.5 = 25312.5
5 = 25312.5 * 1.5 = 37968.75
Therefore, the completed table for the next 5 years would be as follows:
0 = 5000
1 = 7500
2 = 11250
3 = 16875
4 = 25312.5
5 = 37968.75
To determine how to calculate the area covered by the plant for each year, we need to understand the given information. The problem states that the area covered by the plant is growing by a factor of 1.5 each year.
When we say "factor," it means that the area is multiplied by a certain value each year. In this case, the factor is 1.5, implying that the area covered by the plant is being multiplied by 1.5 each year.
Therefore, to calculate the area covered by the plant for the next years, you should multiply the current area by 1.5. Let's complete the table for the next 5 years:
0 = 5000
1 = 5000 * 1.5
2 = 5000 * 1.5 * 1.5
3 = (5000 * 1.5 * 1.5) * 1.5
4 = ((5000 * 1.5 * 1.5) * 1.5) * 1.5
5 = (((5000 * 1.5 * 1.5) * 1.5) * 1.5) * 1.5
Calculating the values step by step, we multiply the previous result by 1.5 each time to find the area covered by the plant for the next year.