Albertine chose to drive a distance of 360 km in her new electric Nissan Leaf to visit her parents. Her average speed was v miles per hour. (Assume Albertine didn’t stop anywhere.)
(a) Write down an expression for the time taken, in hours, for the journey.
(b) She returned by the same route, but her average speed was 10 km/hr less. Write down an expression for the time taken, in hours, for the return journey.
(c) Given that the difference between the two times was 30 minutes, form an equation in v.
(d) Show that the equation in (c) can be reduced to a quadratic.
(e) Solve for her original average speed, v. Express your answer to the nearest tenth of km/hr.
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Step-by-step explanation:
Slope-intercept form of an equation is y = mx + b, where m is the slope and b is the y-intercept.
To put this equation in the form of y = mx + b, we have to isolate the y.
4x+2y=24
4x+2y-4x=24-4x
2y=-4x+24
2y/2=-4x/2+24/2
y=-2x+12
In slope-intercept form, the equation is y = -2x + 12.
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