s the head of fulfillment for a small electronics factory, you oversee organizing the production schedule to fill orders. An order just came in for 1,525 radio consoles to be delivered in 5 weeks. Your assembly line can produce 9 consoles per hour. You put aside 15% of the consoles produced to build inventory for other orders, but the rest are used to fill this large order. Which of the following equations can be used to determine the fewest number of hours, x, needed to produce enough radio consoles to fill this order?

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

i got 10.28 but that rounds up to 10.3

step-by-step explanation:

hihi so drawing these 2 triangles is fairly simple. all that's left is finding the height of each one. luckily, we have a side length and an angle, so there is a trig function we can use to solve for the height. the easiest one to use would be tangent, since we have 2/3 things needed to find and the third needed is what we are solving for. tan(73°) * 30 ~= 98.13 and tan(73°) * 35 ~= 114.45