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Suppose c was a total membership cost for m the two equations that model c are c=30m+50 an c=20m+100

Sagot :

Answer:

5 months

Step-by-step explanation:

Given

[tex]c = 30m + 50[/tex]

[tex]c = 20m + 100[/tex]

Required [Missing from the question]

At what month will the cost be equal

To do this, we equate both expressions

[tex]c = c[/tex]

This gives:

[tex]30m + 50 = 20m + 100[/tex]

Collect like terms

[tex]30m - 20m = 100 - 50[/tex]

[tex]10m = 50\\[/tex]

Solve for m

[tex]m = \frac{50}{10}[/tex]

[tex]m = 5[/tex]