Two quantities, Pand Q, are connected by
1 answer:
Answer:
P = 0.5Q - 20
Step-by-step explanation:
P = kQ + c
substitute Q = 60 , P = 10 into the equation
10 = 60k + c → (1)
substitute Q = 240, P = 100 into the equation
100 = 240k + c → (2)
subtract (1) from (2) term by term to eliminate c
90 = 180k ( divide both sides by 180 )
=
= 0.5 = k
substitute k = 0.5 into (1) and solve for c
10 = 60(0.5) + c
10 = 30 + c ( subtract 30 from both sides )
- 20 = c
then
P = 0.5Q - 20
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Step-by-step explanation:
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In order to solve it, we can use the Substitution method. The steps are:
1. Solve for "p" from the first equation:
2. Substitute the above into the second equation and solve for "h":
3. Substitute the value of "h" into :