Maggie sells homemade cookies. on a dozen cookies she spend 0.50 on flour, 0.70 on sugar, 0.40 on eggs,and 0.40 on packaging if
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The equation of the line in point-slope form is given by:
Where,
(xo, yo): point that belongs to the line
m: slope of the line
The slope is given by:
Substituting values:
Rewriting:
Now we choose an ordered pair:
Substituting values we have:
We now rewrite the equation in its standard form:
Where,
b: cut with the y axis.
We have then:
Answer:
point-slope form:
or
standard form
Where,
(xo, yo): point that belongs to the line
m: slope of the line
The slope is given by:
Substituting values:
Rewriting:
Now we choose an ordered pair:
Substituting values we have:
We now rewrite the equation in its standard form:
Where,
b: cut with the y axis.
We have then:
Answer:
point-slope form:
or
standard form
The exponential equation that gives the number of bees in week 12 is of:
It is modeled by:
In which:
- a is the initial value.
- b is the rate of change.
In this problem, considering that the initial week is the first, and the value triples every week, the expression for the number of bees after x weeks is given by:
Hence, after 12 weeks, the expression is:
More can be learned about exponential equations at brainly.com/question/25537936