QuestionHector's insurance increases by 15% because he's male. Define the function $M(x)$ for his new monthly premium.

Studdy Solution

STEP 1

Assumptions1. Hector's original monthly premium is represented by $x$ . . The increase in premium due to his gender is15%.

STEP 2

We need to find the new monthly premium, $M(x)$ , which is the original premium plus the increase. The increase is calculated by multiplying the original premium by the increase rate.
$M(x) = x + Increase$

STEP 3

The increase can be calculated by multiplying the original premium, $x$ , by the increase rate of15%.
$Increase = x \times15\%$

STEP 4

Convert the percentage to a decimal value.
$15\% =0.15$ $Increase = x \times0.15$

STEP 5

Substitute the increase in the formula for $M(x)$ .
$M(x) = x + x \times0.15$

STEP 6

implify the equation by factoring out $x$ .
$M(x) = x(1 +0.15)$

STEP 7

Calculate the value inside the parentheses.
$M(x) = x(1.15)$ The new monthly premium, $M(x)$ , that Hector needs to pay is1.15 times his original premium.

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QuestionHector's insurance increases by 15% because he's male. Define the function $M(x)$ for his new monthly premium.

Studdy Solution

STEP 1

Assumptions1. Hector's original monthly premium is represented by $x$ . . The increase in premium due to his gender is15%.

STEP 2

We need to find the new monthly premium, $M(x)$ , which is the original premium plus the increase. The increase is calculated by multiplying the original premium by the increase rate.
$M(x) = x + Increase$

STEP 3

The increase can be calculated by multiplying the original premium, $x$ , by the increase rate of15%.
$Increase = x \times15\%$

STEP 4

Convert the percentage to a decimal value.
$15\% =0.15$ $Increase = x \times0.15$

STEP 5

Substitute the increase in the formula for $M(x)$ .
$M(x) = x + x \times0.15$

STEP 6

implify the equation by factoring out $x$ .
$M(x) = x(1 +0.15)$

STEP 7

Calculate the value inside the parentheses.
$M(x) = x(1.15)$ The new monthly premium, $M(x)$ , that Hector needs to pay is1.15 times his original premium.

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QuestionHector's insurance increases by 15% because he's male. Define the function M(x)M(x)M(x) for his new monthly premium.

Studdy Solution

STEP 1

Assumptions1. Hector's original monthly premium is represented by xxx. . The increase in premium due to his gender is15%.

STEP 2

We need to find the new monthly premium, M(x)M(x)M(x), which is the original premium plus the increase. The increase is calculated by multiplying the original premium by the increase rate.M(x)=x+IncreaseM(x) = x + IncreaseM(x)=x+Increase

STEP 3

The increase can be calculated by multiplying the original premium, xxx, by the increase rate of15%.Increase=x×15%Increase = x \times15\%Increase=x×15%

STEP 4

Convert the percentage to a decimal value.15%=0.1515\% =0.1515%=0.15Increase=x×0.15Increase = x \times0.15Increase=x×0.15

STEP 5

Substitute the increase in the formula for M(x)M(x)M(x).M(x)=x+x×0.15M(x) = x + x \times0.15M(x)=x+x×0.15

STEP 6

implify the equation by factoring out xxx.M(x)=x(1+0.15)M(x) = x(1 +0.15)M(x)=x(1+0.15)

STEP 7

Calculate the value inside the parentheses.M(x)=x(1.15)M(x) = x(1.15)M(x)=x(1.15)The new monthly premium, M(x)M(x)M(x), that Hector needs to pay is1.15 times his original premium.

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QuestionHector's insurance increases by 15% because he's male. Define the function $M(x)$ for his new monthly premium.

Assumptions1. Hector's original monthly premium is represented by $x$ . . The increase in premium due to his gender is15%.

We need to find the new monthly premium, $M(x)$ , which is the original premium plus the increase. The increase is calculated by multiplying the original premium by the increase rate.
$M(x) = x + Increase$

The increase can be calculated by multiplying the original premium, $x$ , by the increase rate of15%.
$Increase = x \times15\%$

Convert the percentage to a decimal value.
$15\% =0.15$ $Increase = x \times0.15$

Substitute the increase in the formula for $M(x)$ .
$M(x) = x + x \times0.15$

implify the equation by factoring out $x$ .
$M(x) = x(1 +0.15)$

Calculate the value inside the parentheses.
$M(x) = x(1.15)$ The new monthly premium, $M(x)$ , that Hector needs to pay is1.15 times his original premium.