Respuesta :
The rule for the linear function that describes Adam's savings is
f(x) = 30 + 8x OR f(x) = 8x + 30
The amount Adam saved during the first 5 weeks is $70. The correct option is D.f(x) = 8x + 30; $70
Linear functions
From the question, we are to find a rule for the linear function that describes Adam's savings
From the given information,
Adam wins $3 and he opens a saving account with the $30
and
He continues to put $8 into his savings account each week
If the number of weeks he adds $8 into his account is x,
Then,
Adam's savings after x number of weeks will be
$30 + $8x
Thus, the rule for the linear function that describes Adam's savings is
f(x) = 30 + 8x OR f(x) = 8x + 30
Now, we are to find the amount Adam saved during the first 5 weeks
Using the rule
f(x) = 30 + 8x
For the first 5 weeks, that is, x = 5
Then,
f(5) = 30 + 8(5)
f(5) = 30 + 40
f(5) = 70
Hence, the amount Adam saved during the first 5 weeks is $70. The correct option is D.f(x) = 8x + 30; $70
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