For which value of x is the equation 6 = 12x true?
1 answer:
You might be interested in
Answer:
y =
Step-by-step explanation:
Given that y varies inversely with x then the equation relating them is
y = ← k is the constant of variation
To find k use the condition y = when x =
, thus
=
= 2k ( divide both sides by 2 )
k =
y = ← equation of variation
When x = , then
y = =
=
Answer/Step-by-step explanation:
Equation to represent the daily rental cost for each type of truck can be written as follows:
Daily rental cost for Trucks-A-Lot = 42 + 0.72m
Daily rental cost for Move-in-Truckers = 70 + 0.12m
Where, m = Emily's mileage
To determine the number of miles for which the truck cost the same amount, set both equations equal to each other and solve for m.
Collect like terms
Divide both sides by 0.6
At approximately 47 miles, both trucks would cost the same amount.
Check:
Daily rental cost for Trucks-A-Lot = 42 + 0.72m
Plug in the value of x = 47
= 42 + 0.72(47) = $75.84 ≈ $76
Daily rental cost for Move-in-Truckers = 70 + 0.12m
Plug in the value of x = 47
= 70 + 0.12(47) = $75.64 ≈ $76