QuestionDefine a function $S(x)$ for the 30% discount on monthly premiums for students with a $3.0$ GPA or higher.

Studdy Solution

STEP 1

Assumptions1. The "good student discount" is30% . The discount is applied on the monthly premium3. The function(x) represents the discount on the monthly premium for a "good student"
4. x represents the original monthly premium

STEP 2

We need to write a function(x) that represents the discount on the monthly premium for a "good student". The discount is30% of the original monthly premium.
$(x) = Original\, monthly\, premium \\times Discount\, rate$

STEP 3

Now, plug in the given values for the original monthly premium and discount rate to write the function.
$(x) = x \\times30\%$

STEP 4

Convert the percentage to a decimal value.
$30\% =0.3$ $(x) = x \\times0.3$ The function(x) that represents the discount on the monthly premium for a "good student" is $(x) =0.3x$ .

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