Is the relationship shown by the data linear? If so, model the data with an equation.
2 answers:
Answer:
Yes, the relationship shown is linear. The equation of the line is y=-1.25x-13.25.
Step-by-step explanation:
This data is linear as y decreases at a constant rate. The equation of a line is y=mx+b, where m=slope and b=y intercept
To find m:
m=
m=
m=
m==-1.25
To find b, you can use any of the given points:
(-9,-2)
(-2)=-1.25(-9)+b
-2=11.25+b
-2-11.25=b
b=-13.25
Therefore, using the calculated values for m and b:
y=mx+b
y=-1.25x-13.25
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Answer:
D) $247.90
Step-by-step explanation:
<h3>Understanding the equation:</h3>y is the dependent function whereas x is the independent function.
(<em>What</em><em> </em><em>does</em><em> </em><em>this</em><em> </em><em>mean?)</em>
The values of y depend on the values of x, I.e., any change in the value of x causes a change in the value of y, meanwhile, the opposite doesn't happen.
- x represents the number of invitations
- y represents the cost to print the invitations
The cost to print the invitation depends on the number of invitations, for real.
<h3>Solution to the problem:</h3>The question asks us to find the cost of printing 100 invitations.
Substituting x for 100:
y = (2.44 × 100) + 3.90
y = 244 + 3.90
y = 247.90
<h3>Answer:</h3>The value of y obtained for x = 100 is the cost of printing 100 invitations – $ 247.90