Big Bucks Bank charges a monthly service fee and a per-check fee, and its total monthly fees as they relate to the number of che
cks written per month is shown by the graph below. Which of these is the fee structure of Big Bucks Bank? A. A monthly service fee of $1.00 and a per-check fee of $0.50 B. A monthly service fee of $0.50 and a per-check fee of $1.00 C. A monthly service fee of $0.50 and a per-check fee of $0.50 D. A monthly service fee of $1.00 and a per-check fee of $1.00
2 answers:
Given that "Big Bucks Bank charges a monthly service fee and a per-check fee, and its total monthly fees as they relate to the number of checks written per month is shown by the graph below." But the related graph is missing so I will create a similar graph to explain how to find the answer.
Monthly service fee is like the fixed cost which is basically the y-value where graph crosses the y-axis.
From graph we see that graph crosses at 1 on y-axis so monthly service fee according to sample graph = $1
Now the per check fee works like slope of the line.
To find the slope we need two points so find any two points on the graph of line. I'm using points (1,0) and (4,3)
now slope can be found using formula
Hence per check fee will be $0.5 as per attached sample graph.
You can use same technique for the original graph given with this question.
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Answer: They will travel about 131.18 yards.
Step-by-step explanation:
Given : A football field is 120 yards long by 53 yards wide.
We know that a football field is rectangular in shape.
Each interior angle in a rectangle is a right angle.
Then, by Pythagoras theorem, we have
(Diagonal)² = (Length)² + (Width)²
If a player runs diagonally from one corner to the opposite corner, then the length of the diagonal is given by :-
Hence, they will travel about 131.18 yards.
We have to write an equation that uses this info so we can find the cost to ship that package. However, the package weight is given to us in grams and we need it in ounces. So first thing we are going to do is convert that 224 g to ounces. Use the fact that 1 g = .035274 ounces to convert. . Do the multiplication and cancel out the label of grams and we have 7.901376 ounces. Ok. We know that it costs .57 to mail the package for the first ounce. We have almost 8 ounces. So no matter what, we are paying .57. For each additional ounce we are paying .32. The number of .32's we have to spend depends upon how much the package goes over the first ounce. For the first ounce we pay .57, then for the remaining 6.901376 ounces we pay .32 per ounce. Our equation looks like this: C(x) = .32(6.901376) + .57 and we need to solve for the cost, C(x). Doing the multiplication we find that it would cost $2.78 to ship that package.