jprado01
30.10.2019 •
Mathematics
Robert took $32 with him to spend on pizza and games for himself and his friends at chucky cheese. the price for each slice of pizza was $4. the price for each game was half the price of a slice of pizza.
a) sketch the graph that represents the situation and label the intercepts with the real world items you are comparing. use one axis to represent the number of slices of pizza and the other axis to represent the number of games.
b) what do the intercepts and the solutions of your graphed function mean in context of the problem? explain both intercepts.
c) if robert spends his money on both pizza and games, give an example of the number of pizza slices and games robert can buy if he spends all his money.
d) prove algebraically that you’re above example in c is true.
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Ответ:
Part a) The graph in the attached figure
Part b) see the explanation
Part c) 6 slices of pizza and 4 games
Part d) see the explanation
Step-by-step explanation:
Part a)
Let
x ----> the number of slices of pizza
y ---> the number of games
we know that
The price for each slice of pizza was $4
The price for each game was half the price of a slice of pizza
so
$4(1/2)=$2 ----> the price of each game
The number of slices of pizza multiplied by $4 plus the number of games multiplied by $2 must be equal to $32
so
-----> equation A
using a graphing tool
see the attached figure
The x-intercept is the point (8,0)
The y-intercept is the point (0,16)
Part b) What do the intercepts and the solutions of your graphed function mean in context of the problem
The y-intercept -----> that means, the value of y when the value of x is equal to zero
so
In this context, if they spend all money on games, they can play 16 games
The x-intercept -----> that means, the value of x when the value of y is equal to zero
so
In this context, if they spend all money on slices of pizza, they can buy 8 slices of pizza
Part c) we know that
If a ordered pair is a solution of the liner equation , then the ordered pair must satisfy the linear equation
Example
The ordered pair (6,4) lie on the line
Verify
For x=6 slices of pizza, y=4 games
substitute
---> is true
Part d)
x-intercept
For y=0
Find the value of x
The x-intercept is the point (8,0)
8 slices of pizza and 0 games
y-intercept
For x=0
The y-intercept is the point (0,16)
0 slices of pizza and 16 games
Ответ:
Hey there!
We may ask. What exactly is a term anyways.
Well, a term is a single number, a variable, or a number and a variable that would have to be multiply together. This is what a term would be.
Therefore, as we look above, we see the following equation.
9a+4b-18
18 is a term
4b is a term
9a is a term
This whole thing, would be called an expression, as this is expression something. Perhaps the amount of students who ate ice-cream at a football game, or something similar.
I hope you found this helpful! :)