Question

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.

Answer 1

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

solution is (7,6)
means that the plants will both be 7 cm tall after 6 weeks

Answer 2

Answer:

(6,7)    7    6

Step-by-step explanation: