In the inequality models, the number of additional weeks is 1558+60x≥2158.
Given that the initial savings is $1558, the amount needed is $2158 and additional savings is $60 weekly.
Let the number of weeks be x.
So, she will save 60x in x weeks.
Total savings after x weeks is
Initial saving +60x .......(1)
According to the question, she needs $1258 for repair.
So, that means the minimum requirement is 2158.
≥2158 ........(2)
Combine equations (1) and (2) and get
Initial savings +60x≥2158
As given that the initial savings is 1558.
Substitute this in above inequality and get
1558+60x≥2158
To find the number of weeks find value of x.
Subtract 1558 from either sides of the inequality.
1558+60x-1558≥2158-1558
60x≥600
Divide both sides with 60 as
60x÷60≥600÷60
x≥10
Hence, the inequality that models the number of additional weeks marie needs to continue saving to afford the home repairs is 1558+60x≥2158 and she needs to save $60 for at least 10 weeks.
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