Question

For each situation first write and equation in the form of y=mx + b. Then solve each problem.

A farm has 75 acres of wheat. The farmer can harvest the wheat from 12 acres per day. In how many days will all of the fields be harvested?
y=12x + 75
74/12=6.25
substitute x for 6.25

12 x 6.25=75
75 + 75=150
Is 150 the answer?

Answer 1

Would it actually be 6.25 days to harvest the field or rounded to 7 days?
Is the equation correct?
y=12x+75
or would it be
75=12x + b?

Answer 2

what does y represent? x?

If y represents the amount of wheat yet to be harvested after x days, then
y = 75-12x
or,
y = -12x+75

Try to see what your equations would represent ...
Now you want to find x when all the wheat has been harvested -- that is, when y=0
And yes, x=6.25

Answer 3

x is the value where the line intercepts the x axis and I am not sure what y represents?

Answer 4

Hello Steve,
You put y = -12x+75
If do -12 x 6.25=75
-75 + 75=0

Answer 5

Hello Steve,
I think I know why you put the below.

If y represents the amount of wheat yet to be harvested after x days, then
y = 75-12x
or,
y = -12x+75
both answers would equal 0 for y am I correct?

Answer 6

correct. After 6.25 days there is no wheat left to be harvested.
Before you can write a meaningful equation, you need to decide what the variables mean. Without that, you're just guessing. You could come up with a different equation, but make sure that it means what you intend, and solving it answers the question asked.

Answer 7

Steve does y always need to be 0?

Answer 8

So would the correct answer be:
y= -12x + 75 in order to write it as y=mx + b?

Answer 9

dont agree