Cameron’s bacteria population is modeled by an equation. Deon models his bacteria population with a graph. Cameron says that on
day 14 , she will have more bacteria than Deon.
Is she right? Why or why not?
Is she right? Why or why not?
2 answers:
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Answer:
A (0,3)
Step-by-step explanation:
The given trapezoid has vertices:
(0,6), (7,12), (7,9) and (0,12).
We want to choose from the given options, a point that is a vertex for the image produced by a dilation about the origin with a scale factor of 1/2.
Note that the mapping for such a dilation is:
This implies that:
Therefore correct choice is (0,3)
We substitute the given into the equation
given: a=-1, b=2, c=
=(
-1
=
-1
=
-1
=
-1
to continue, we can either find a common denominator or change the fraction to decimal.
Fraction to Decimal:
=-2.5
Equation=-2.5-1=-3.5
OR Common Denominator:
=
×
(denominator should be -2=common)
=+
=
which also = to -3.5
given: a=-1, b=2, c=
=(
=
=
=
to continue, we can either find a common denominator or change the fraction to decimal.
Fraction to Decimal:
Equation=-2.5-1=-3.5
OR Common Denominator:
=
=
=
which also = to -3.5