ella2264
contestada

Roberto got $30 for his birthday. He decides to save that
amount and add $5 to his savings each week. Jack starts
saving the same day as Roberto and puts $8 in his
savings each week. After how many weeks will the boys
have the same amount in savings?

Respuesta :

absor201

After 10 weeks, the boys will have the same amount in savings.

Step-by-step explanation:

Given,

Amount Roberto starts with = $30

Amount added each week = $5

Let,

x be the number of weeks.

R(x) = 30+5x

Amount saved by Jack each week = $8

J(x) = 8x

When the amount will be same, the functions will be equal, therefore,

R(x) =J(x)

[tex]30+5x=8x\\30=8x-5x\\30=3x\\3x=30[/tex]

Dividing both sides by 3

[tex]\frac{3x}{3}=\frac{30}{3}\\x=10[/tex]

After 10 weeks, the boys will have the same amount in savings.

Keywords: functions, division

Learn more about functions at:

  • brainly.com/question/4390083
  • brainly.com/question/4401748

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