Math Problem...?

How Tall Are The Flowers?

Jennie and Trevor measured the heights of two beautiful flowers growing in a garden – one red

and one blue.

(a) Jennie told her friend Sara that five times the height of the blue flower added to four times

the height of the red flower is exactly one metre. Draw a graph to show all the possible

heights of the flowers.

(b) From Jennie’s information, Sara didn’t know the actual heights of the flowers, so she asked

Trevor what he had found out. He told her that the red flower is seven centimetres taller than

the blue one. Add a line to your graph to show the possible heights of the two flowers based

on this information.

(c) Explain how Sara can use the graphs to find the actual height of each flower, and state their

heights.



how would u graph the sec. line in B???

Math Problem...?
Okay, from the first one (a), we know that (rx5)+(4xr)=1 metre



(b) tells us that r=2+b



(c) tells us this: replace "r" with "b":



((2+b)x5)+(4x(2+b))= 1 metre



So:



10+5b+8+4b=1 metre



18+ 9b= 1metre



19 metre=9b

divide by b



19/9=b



2 1/9 = b
Reply:for letter b, the red is 7 cm taller so...



when blue is 0, red is 7...

when blue is 1, red is 8.... make a graph from that plot the two points (0,7) and (1,8) if red flower is in the x axis.



you can solve this without using graphs...



first equation is : 5B+4R=100

second equation is: R=B+7



combined equation: 5B+4(B+7)=100

you can solve from there unless you needed more help, you can email me.