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system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y is and
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<u>Step-by-step explanation:</u>
Here we have , A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $4 more than the first customer for 1 large candle and 8 small candles. The price of each large candle is the same, and the price of each small candle is the same. We need to find Which system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y . Let's find out:
Let the price in dollars of each large candle, x, and each small candle, y .So
A customer at a store paid $64 for 3 large candles and 4 small candles
Equation is :
⇒ .....(1)
At the same store, a second customer paid $4 more than the first customer for 1 large candle and 8 small candles.
Equation is :
⇒ .......(2)
3(2)-(1) i.e.
⇒
⇒
⇒
So ,
⇒
⇒
Therefore , system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y is and
.
The first thing we must do for this case is to find the equation of the line.
We have then:
We choose an ordered pair:
Substituting values:
From here we conclude:
Intersection with y:
We evaluate x = 0 in the function:
Slope of the line:
Point (-2, -5):
We evaluate the value of x = -2 and the value of y = -5
The equation is satisfied.
Point (8, 0):
It is part of the table, therefore belongs to the line.
Answer:
The slope is 1/2
The y-intercept is -4.
The points (-2, -5) and (8, 0) are also on the line.
We have then:
We choose an ordered pair:
Substituting values:
From here we conclude:
Intersection with y:
We evaluate x = 0 in the function:
Slope of the line:
Point (-2, -5):
We evaluate the value of x = -2 and the value of y = -5
The equation is satisfied.
Point (8, 0):
It is part of the table, therefore belongs to the line.
Answer:
The slope is 1/2
The y-intercept is -4.
The points (-2, -5) and (8, 0) are also on the line.