A line with a slope of 5 passes through the point (6, 12). Write the equation for this line.
2 answers:
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Answer:
$45.22
Step-by-step explanation:
The number of miles per gallon can be represented by the ratio:
Since we know the unit rate of 26 miles per gallon of gas, we can set up a proportion, or equivalent ratios, to find the number of gallons needed for 420 miles:
, where 'x' is the number of gallons of gas
cross-multiply and divide: 26x = 420 or x ≈ 16.15 gallons
If gas is $2.80 per gallon, take the total number of gallons needed and multiply by $2.80:
16.15 x $2.80 = $45.22
You can solve this in two ways.
1. Graphical. Plot the graph for x between -5 and 1 (see attachement).
The vertex of the graph is the peak of the curve, which has the coordinates x=-2, y=-9.
2. Analytical. Calculate the derivative of the function f(x)
Solve the equation:
will give the solution x=-2.
Replace x=-2 in the f(x) function and you'll get the value of y:
You get the same answer: x=-2, y=-9
So the answer is
<span>B. (-2, -9)</span>
1. Graphical. Plot the graph for x between -5 and 1 (see attachement).
The vertex of the graph is the peak of the curve, which has the coordinates x=-2, y=-9.
2. Analytical. Calculate the derivative of the function f(x)
Solve the equation:
will give the solution x=-2.
Replace x=-2 in the f(x) function and you'll get the value of y:
You get the same answer: x=-2, y=-9
So the answer is
<span>B. (-2, -9)</span>