Based on the above, the solution of the system is h =7 and t = 6 means that the plants will both be 7 centimeters tall after 6 weeks.
From the question:
- A 4 cm bean plant grows at a rate of 1/2cm per week.
- A 5.5 cm flower grows at a rate of 1/4cm per week.
So, If h is the height of the plant in centimeters and t is the number of weeks,
Hence the system of equations is:
h = 1/2t + 4
h = 1/4t + 5.5
1/2t + 4 = 1/4t + 5.5
1/2t - 1/4t = 5.5 - 4
2/4t - 1/4t = 1.5
1/4t = 1.5
t = 1.5 x 4
t = 6
h = 1/2t + 4
h = 1/2(6) + 4
h = 3 + 4
h = 7
Hence the solution is (7,6) and means that the plants will both be 7 cm tall after 6 weeks
See full text below
Use the graph to determine and interpret the solution. A 4 cm bean plant grows at a rate of 1/2cm per week. A 5.5 cm flower grows at a rate of 1/4cm per week. If h is the height of the plant in centimeters and t is the number of weeks, then the system of equations is:
h = 1/2t + 4
h = 1/4t + 5.5
The solution to the system,___?___
, means that the plants will both be ___?___ centimeters tall after__?___weeks.