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.

Question

Mathematics

Zion Pena

17 September, 17:12

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.

+2

Answers (1)

Know the Answer?

Yandel Townsend · 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