I think the answer to your question is 587.998
The complete question is
"The ratio table below shows the relationship between the number of packages of gum and the total pieces of gum.
Gum Packages of gum Pieces of gum
1
15
2
30
3
45
4
?
How many pieces of gum are in 4 packages of gum?"
Using a proportional function, there are 60 pieces of gum in 4 packages.
<h3>What is a proportional relationship?</h3>
Two values x and y are said to be in a proportional relationship if x=ky, where x and y are variables and k is a constant.
The constant k is called constant of proportionality.
The constant is given by:
k = 15/1
k = 30/2
k = 45/3
k = 15.
Therefore, the number of pieces of gums in x packages is given by:
y = 15x.
In 4 packages:
y = 15 x 4
y = 60 pieces of gum.
Using a proportional function, there are 60 pieces of gum in 4 packages.
More can be learned about proportional functions at brainly.com/question/10424180
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Answer: In five months,she will save the same money which is $250.
Step-by-step explanation:
Using the first statement we can generate the function y=10x + 200 and using the second statement we can also generate the function y = 30x + 100 . Now using the two equations solve for x and y to determine how many months they cost the same.
y = 10x + 200
y = 30x + 100
Substitute the value of x in the first equation into the second equation.
30x + 100= 10x + 200 now solve for x
-100 -100
30x = 10x + 100
-10x -10x
20x = 100
x= 5
This means in five months Tina will save the same amount. Now to find out how much the amount is, plot the value of x into one of the equations and solve for y.
y = 10(5) + 200
y = 50 + 200
y = 250
She will save $250 with either option.