Mrs. Johnson was collecting acorns. Every 3 hours she would find 5 acorns. After 9 hours, she had 27 acorns. Create an equation to represent this situation

Question

Multiple choice

 

A.  y=5/3x+21.6

 

B. y=3/5x+27

 

C. y=5/3x-36

 

D. y=5/3x+12

 

 

2. How long would it take for her to collect 60 acorns?

Answer 1

The number of acorns per hour or a/h = 5/3 acorns per hour

Multiply that by 9 hours

(5/3)(9) = 15 acorns in 9 hours if she started at zero.

Since she has 27 acorns at 9 hours instead of 15 then

she must have started with 12 acorns already.  Thus

the equation to find out how many acorns she will have

after x hours is:

 

y = (5/3)x + 12

 

2.  To collect 60 acorns:

 

(5/3)x + 12 = 60

(5/3) x = 48

x = 48(3/5)

x = 144/5

x = 28 4/5 hours

 

(4/5 hours)(60 min/hr) = 4(12) = 48 mins

 

Total time 28 hours 48 mins