10) Use the information to the right to answer the questions below. Meals Deals Meal A 5 burgers and 3 order of fries $35.50 Meal B 2 burger and 6 orders of fries $25.00 a) Write a system of 2 equations to represent the meal deals. b) Solve the system to find the cost of a burger and the cost of an order of fries.

Let burger be represented with b, and order of fries be represented with f.

So, the system of equations are;

5b + 3f = 35.50 eqn(1)

2b + 6f = 25.00 eqn(2)

By elimination method of solving simultaneous equations,

2(5b + 3f = 35.50) ; 10b + 6f = 71.00 eqn(3)

5(2b + 6f = 25.00) ; 10b + 30f = 125.00 eqn(4)

Subtracting eqn(3) from eqn(4), we get,

24f = 54

Dividing both sides by 24, we get,

f = 54/24 = 2.25 =$2.25

To find the value of b:

We substitute 2.25 for f in eqn(2):

2b + 6(2.25) = 25

2b = 25 - 13.50

2b = 11.50

Dividing both sides by 2, we get,

b =11.50/2

b = 5.75 = $5.75

The solution is;

the cost of a burger is $5.75

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step-by-step explanation:

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.