Question

Aaron is considering two health insurance plans.The Get Well Soon Company charges an annualfee of 100 plus 10 per doctor visit, giveny = 100 + 10.x. The Mega Coverage Companycharges $35 per doctor, with no annual fee,represented by the equation: y = 35x.Which insurance company has the LOWER rateand what is the rate?A. Get Well Soon, at a rate of 10B. Get Well Soon, at a rate of 100.C. Mega Coverage Company, at a rate of OD. Mega Coverage Company, at a rate of 35.

Answer 1

Let's begin by listing out the information given to us:

The Get Well Soon Company

$\begin{gathered} y=100+10x \\ \text{Rearranging the equation in the general form, we have it as:} \\ y=10x+100 \\ \text{When we compare this with the general equation of a straight line, }y=mx+b,\text{ we have:} \\ \Rightarrow Slope(m)=10 \end{gathered}$

The Mega Coverage Company

$\begin{gathered} y=35x \\ \text{When we compare this with the general equation of a straight line, }y=mx+b,\text{ we have:} \\ \Rightarrow Slope(m)=35 \end{gathered}$

Comparing both companies, we will observe that The Get Well Soon Company has the lower rate and its rate is 10. Hence, option A is the correct answer