Answer:
The independent variable is m, while the dependent variable is t.
Step-by-step explanation:
- What is the independent variable?
An independent variable is a variable that does not rely on another variable to change its outcome. In this case, the variable 'm' does not rely on the ride's total cost.
- What is the dependent variable?
The dependent variable is a variable that depends on another variable to give its amount. In this case, 't' is the dependent variable, because it depends on how many miles were driven, in order to provide the correct answer.
- Write an equation representing this relationship:
t = $6 + ($1.50 x m)
- Complete the table to show the total cost for riding 3 to 10 miles:
3 miles: t = $6 + ($1.50 x m) or $10.50 = $6 + ($1.50 x 3)
4 miles: t = $6 + ($1.50 x m) or $12 = $6 + ($1.50 x 4)
5 miles: t = $6 + ($1.50 x m) or $13.50 = $6 + ($1.50 x 5)
6 miles: t = $6 + ($1.50 x m) or $15 = $6 + ($1.50 x 6)
7 miles: t = $6 + ($1.50 x m) or $16.50 = $6 + ($1.50 x 7)
8 miles: t = $6 + ($1.50 x m) or $18 = $6 + ($1.50 x 8)
9 miles: t = $6 + ($1.50 x m) or $19.50 = $6 + ($1.50 x 9)
10 miles: t = $6 + ($1.50 x m) or $21 = $6 + ($1.50 x 10)
The slopes of two parallel lines must be identical.
We have slope
, so the slope for the parallel line be the same.
Now, to find an equation that also passes through the given point, we use slope-point form,
, where our point
is substituted for
.
Now, we convert to slope-intercept form as such.
And we are done. :) We can verify graphically that these are indeed parallel lines. See attached.
So, 0.5^5 is 0.03125
multiply that by 125 and get your answer.
*3.90625* (4)
just saying, I got the 0.5^5 thing because 5 is the number of half-lives (x) and 0.5 is the rate of loss (or whatever its called).
If it were to gain, you would put 1.5
Answer:What are the equivalence classes of the equivalence relations in Exercise 3? A binary relation defined on a set S is said to be equivalence relation if it is reflexive, symmetric and transitive. An equivalence relation defined on a set S, partition the set into disjoint equivalence classes
Step-by-step explanation:
the price charged for 100 students reflects the cost per student that applies to the order as a whole.
100 * 6 = $600, so the fixed cost is 750-600 = 150.
...
We can check this by substituting in the other equation.
Does 150*6 + 150 = 1050?
150*6=900
900+150 = 1050.
Yes, it does
...
We can express this relationship by the equation:
y = mx + b
where
y = total cost
m = $6 per student
x = number of students
b = fixed costs = 150
y = 6x + 150