It will be $2.50 for each pound of walnuts, and it will be $1 for each pound of chocolate chips.
I know this hold true because when we multiply $2.50 by 2, we get $5, and add that to the other $5 from the chocolate chips and we will get $10. We can also multiply $2.50 by 8 and add $3 from chocolate chips to get $20 + $3, or $23.
Answer:
See method below.
Step-by-step explanation:
m/n + n/3 = 2
2/m + n = 4
First eliminate the fractions by multiplying the first equation by 3n:-
3m + n^2 = 6n...........(1)
and the second equation by m:-
2 + mn = 4m..............(2)
Now we solve using substitution:-
From equation (2):-
4m - mn = 2
m = 2 / (4 - n)
Now substitute for m in equation (1):-
6/ (4 - n) + n^2 = 6n
6 + n^2(4 - n) = 6n(4 - n)
6 + 4n^2 - n^3 = 24n - 6n^2
n^3 - 10n^2 + 24n - 6 = 0
This will not factor so we could solve this using graphical software.
To find the values of the variable m we substitute the found values of n into one of the original equations and solve for m.
The question is find the equation, in the function and standard notations, that represent the amount spent in the range of 0 to 5 rides.
Constant cost: $30
Independent variable, number of rides: r
Variable cost: $2r
Total spend, s(r): 30 + 2r
Function: s(r) = 30 + 2r, for 0 ≤r ≤ 5 ----- this is the function notation
Standard form: s(r) is the dependent variable = s
s = 30 + 2r => s - 2r = 30 =>
s + (-2)r = 30, for 0 ≤ r ≤ 5 ------ this is the standard form
