Sam and Kevin both worked hard over the summer. Together they earned a total of $425. Kevin earned $25 more than Sam.
1 answer:
Answer:
(a)
system of equations are
(b)
Graph is attached
(c)
Sam earned =$200
Kevin earned =$225
Step-by-step explanation:
Let's assume
's' for the amount Sam earned
'k' for the amount Kevin earned
(a)
Together they earned a total of $425
so, we get
Kevin earned $25 more than Sam
so, we get
so, system of equations are
(b)
now, we can draw graph
(c)
intersection point will be our solution
and we got intersection point as
(200, 225)
so,
s=200
k=225
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Answer:
The average rate of change of the function from x=1 to x=2 will be: 10.5
Step-by-step explanation:
Given the function
at x₁ = 1,
f(x₁) = f(1) = -14/(1)² = -14/1 = -14
at x₂ = 2,
f(x₂) = f(2) = -14/(2)² = -14/(4) = -3.5
Using the formula to determine the average rate of change at which the total cost increases will be:
Average rate of change = [f(x₂) - f(x₁)] / [ x₂ - x₁]
= [-3.5 - (-14)] / [2 - 1]
= [-3.5 + 14] / [1]
= 10.5 / 1
= 10.5
Therefore, the average rate of change of the function from x=1 to x=2 will be: 10.5