Hey there!
You can write out equations for both of these situations.
The first situation can be represented by f(x) = 382 + 2x, where 382 is the initial cost, x is the total amount of miles, 2x is the cost per additional mile, and f(x) equals to total that Jason has had to pay to drive his truck.
The second situation can be presented by g(x) = 379 + 5x, where 379 is the initial amount Jason will get paid, x is the amount of miles he's driven, 5x is the money he's being paid depending on how many miles he's driven, and g(x) is the total amount he's been paid.
You can graph these two equations on the computer or by hand to find where they will meet up. The place where they intersect will be the place where Jason breaks even. You can see on the graph I attached that, after one mile, the lines intersect and Jason spends and makes a total of 384 dollars.
Hope this helped you out! :-)
Answer:
We are given that the frame is 2 units wide, which means that we subtract the length of the outer frame by 2 units for each side:
7 - 2 -2 = 3
9 - 2 -2 = 5
Now, we have the length and width for the smaller rectangle, so we use the area formula (area = length*width) to get:
3*5 = 15
Step-by-step explanation:
Please support my answer.
It is always negative, because it keeps going down on the number line. Say it is negative 8 minus 5, it would be negative 13, because it adds to the negatives, so it would go deeper into the negatives.
Answer:

the rate of change of height when the water is 1 meter deep is 21 m/min
Step-by-step explanation:
First we need to find the volume of the trough given its dimensions and shape: (it has a prism shape so we can directly use that formula OR we can multiply the area of its triangular face with the length of the trough)

here L is a constant since that won't change as the water is being filled in the trough, however 'b' and 'h' will be changing. The equation has two independent variables and we need to convert this equation so it is only dependent on 'h' (the height of the water).
As its an isosceles triangle we can find a relationship between b and h. the ratio between the b and h will be always be the same:

this can be substituted back in the volume equation

the rate of the water flowing in is:

The question is asking for the rate of change of height (m/min) hence that can be denoted as: 
Using the chainrule:

the only thing missing in this equation is dh/dV which can be easily obtained by differentiating the volume equation with respect to h


reciprocating

plugging everything in the chain rule equation:



L = 12, and h = 1 (when the water is 1m deep)


the rate of change of height when the water is 1 meter deep is 21 m/min