1. You and your friend join a new gym that requires a one-time joining fee and monthly payments. Your friend stays with this gym for 3 years and pays $820 while you stay for 24 months and pay $640. (5 pts) a. Calculate the linear function that models this data to find the cost of gym membership, C, in terms of the number of months attended, m. (2 pts) b. What is the cost per month and what is the joining fee

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Ответ:

CameronVand21

10.09.2020

Mathematics

1. let r be the point with unknown x-coordinate. consider vectors $\overrightarrow{qr}=())=(x+14)$ and $\overrightarrow{rs}=(2-x).$

these vectors are colinear and

$\dfrac{\overrightarrow{qr}}{\overrightarrow{rs}}=\dfrac{3}{5}.$

then

$\dfrac{x+14}{2-x}=\dfrac{3}{5},\\ \\5(x+14)=3(2-x),\\\\5x+70=6-3x,\\\\8x=-64,\\\\x=-8.$

2. if you need correct formula, then

$\dfrac{x_r-x_q}{x_s-x_r}=\dfrac{m}{n},\\ \\n(x_r-x_q)=m(x_s-x_r),\\\\nx_r-nx_q=mx_s-mx_r,\\\\x_r(n+m)=mx_s+nx_q,\\\\x_r=\dfrac{mx_s+nx_q}{m+n}.$

answer: point r partitions the directed line segment from q to s in a m: n, the ratio to determine point r is

$x_r=\dfrac{mx_s+nx_q}{m+n}.$

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