Video club and functions : correction of the exercises in third grade

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Video club and functions.Corrected math exercises online in third (3ème) on affine and linear functions.

Exercise Answer Key:

A video store offers different rates for borrowing DVDs:

-Rate A : 5 € per DVD borrowed.

-Rate B: 2.50€ per DVD borrowed, after paying a subscription of 18€.

-Rate C: 70€ subscription for an unlimited number of DVDs.

1. Copy and complete the following table:

5 DVDS

15 DVDS

25 DVDS

Cost at rate A

5\times  \,4=20

5\times  \,15=75

5\times  \,25=125

Cost at rate B

18+5\times  \,2,5=18+12,5=30,5

18+15\times  \,2,5=18+37,5=55,50

18+25\times  \,2,5=18+62,5=80,50

Cost at rate C

70

70

70

We note x the number of DVDs borrowed

2. Express as a function of :

the price paid f(x) at rate A; the price paid g(x) at rate B and the price paid h(x) at rate C.

f(x)=5x

g(x)=2,5x+18

h(x)=70

3. Graphically represent, in an orthogonal frame, the following three functions:

x\,\mapsto  \,5x

x\,\mapsto  \,2,5x+18

x\,\mapsto  \,70


Scale:
x-axis: 1 cm for 2 DVDs
ordinate axis: 1cm for 5 €.

4. a) Solve the equation 5x= 2.5x + 18

5x-2,5x=18

2,5x=18

x=\frac{18}{2,5}=7,2

b) Interpret the result.


Conclusion:
the function curves of the functions f and g intersect for x=21.

5. a) Graphically solve the following inequation: 70\leq\,\,2,5x+18.

For x\geq\,\,14

b) Then find the result by calculation.

70\leq\,\,2,5x+18

70-18\leq\,\,2,5x

52\leq\,\,2,5x

\frac{52}{2,5}\leq\,\,x

20,8\leq\,\,x

6.



Synthesis: give the most interesting rate according to the number of DVDs borrowed.

This exercise is being corrected.


Information about this answer key:


Title:
Video Club and Functions
Correction:

Video club and functions.Corrected math exercises online in third (3ème) on affine and linear functions.


Type:
Answer key to third grade math exercises

Level:
third


The exercises in the third grade


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