Answer:
Step-by-step explanation:
From the problem statement, we can setup the following equation:
where 
is the number of months that Rachel has saved up money.
Dividing both sides by 35, we get the answer:
Problem 1
<h3>Answer:
104 cubic inches</h3>
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Explanation:
The prisms are similar so they have the same shape, but different sizes.
The linear scale factor from small to large is:
large/small = 10/4 = 2.5
Meaning that we multiply each dimension of the smaller prism by 2.5 to get the corresponding side length of the larger prism
4*2.5 = 10
This linear scale factor is then cubed to get the volume scale factor
(2.5)^3 = 15.625
Which tells us:
larger volume = 15.625*(smaller volume)
smaller volume = (larger volume)/15.625
smaller volume = (1625)/15.625
smaller volume = 104 cubic inches
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Problem 2
<h3>Answer: 650 square inches</h3>
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Explanation:
We will go back to the linear scale factor of 2.5
This time, we square it to get (2.5)^2 = 6.25
This is the surface area scale factor.
larger surface area = 6.25*(smaller surface area)
larger surface area = 6.25*(104)
larger surface area = 650 square inches
Answer:
Step-by-step explanation:
The function t, where t(x) = 9.50x represents the amount of money Fernando earns given the number of hours, x, that he works.
The domain of a function are the set of possible values of x, the independent variable that satisfies the function.
Fernando works between 12 and 25 hours each week. It means that the statement that best represents the domain of this function for any given week would be
12 ≤ x ≤ 25
