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8.
If you set up the problem as a ratio and cross multiply, you will find that you may buy 8 lemons for 60 cents.
Set up the equation like this:
2/15 to x/60.
Multiply 2 with 60, then proceed to divide by 15 in order to find x.
Hope this helps!
answer: i think that it would increase by about 20 percent
i am not sure, if i m wrong then i am very sorry!
Step-by-step explanation:
<span>Let x = dollar increase in price
Let y = fewer number of pairs sold
Since 2 fewer shoes are sold for each 1 dollar (factor of 2)
y = 2x
Revenue = Number of shoes sold * Price charged per shoe
Number of shoes sold = 200 - y = 200 - 2x
Price charged per shoe = $60 + $x
Revenue = (200 - 2x)(60 + x) = -2x^2 + 200x - 120x + 12000
Revenue = -2x^2 + 80x + 12000
In a quadratic equation, Revenue is maximized when x = -b / 2a. In this case:
x - -80 / (2*-2) = $20
Price charged per show = $60 + $x = $60 + $20 = $80.
Maximum revenue = -2x^2 + 80x + 12000 (evaluated at x = $20)
Maximum revenue = -2(20^2) + 80*20 + 12000 = $12800</span>
A direct variation equation is one that requires y varies directly as x and looks like this in equation form:
where k is the constant of variation. If we solve this for y, we have y = kx, which happens to be a linear function... a line. k here, then, serves as the slope. So what we are given as points on a direct variation function are actually points on a line. The equation for this requires that we find the slope and then rewrite the formula accordingly. First the slope:
Now we need to write the equation by using one of the points' coordinates. I picked the first point that has an x coordinate of -9 and a y coordinate of -3. Fitting those into the slope-intercept form of a line,
which simplifies to
-3 = -3 + b and b = 0. That means that the equation of direct variation is
or just