Mathematics, 17.07.2019 05:30 jasminer257

Acompany offers four plans for customers who want to rent dvds and video games. the cost of the plans can be modeled by a linear function that combines a one time membership fee with a per disc rental rate. the table shows the total cost, including membership fees, for a person who rents 1,2 and 5 discs in a month discs rented plan a b c d 1. $14. $12. $10. $12 2. $17. $16. $15. $21 5. $26. $28. $30. $48 which plan has the smallest one-time membership fee? plan a plan b plan c plan d

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Answer from: Webber07

Your answer is Plan D

Step-by-step explanation:

HOPE IT HELPS

Answer from: zozo72

To solve this, we are going to use the slope formula, and the point slope formula.
Slope formula: $m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$
where

is the slope.
$(x_{1},y_{1})$ are the coordinates of the first point.
$(x_{2},y_{2})$ are the coordinates of the first point.
Point-slope formula: $y-y_{1}=m(x-x_{1})$

Plan A. Coordinates of the first point: (1,14) (number of discs, cost). Coordinates of the second point: (2,17). Lets replace those values in our slope formula:
$m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$
$m= \frac{17-14}{2-1}$
m=3

Now that we have the slope, we can use the point slope formula:
$y-y_{1}=m(x-x_{1})$
y-14=3(x-1)

Remember that in a linear equation of the form y=mx+b

is the slope and

is the y-intercept. In our model the y-intercept is the membership fee.
Since b=11

in our linear equation, we can conclude that the membership fee is $11

Plan B. Coordinates of the first point (1,12). Coordinates of the second point (2,16).
$m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$
$m= \frac{16-12}{2-1}$
m=4

$y-y_{1}=m(x-x_{1})$
y-12=4(x-1)

Membership fee: $8

Plan C. Coordinates of the first point: (1,10). Coordinates of the second point: (2,15).
$m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$
$m= \frac{15-10}{2-1}$
m=5

$y-y_{1}=m(x-x_{1})$
y-10=5(x-1)

Membership fee: $5

Part D. Coordinates of the first point: (1,12). Coordinates of the second point (2,21).
$m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$
$m= \frac{21-12}{2-1}$
m=9

$y-y_{1}=m(x-x_{1})$
y-12=9(x-1)

Membership fee: $3

We can conclude that the plan that has the smallest one-time membership is Plan D.

Answer from: Quest

answer: the 4 kilogram bag

step-by-step explanation: this is because if you divide the number of kilograms into the total it will tell you how much each individual kilogram would be worth. 2 kilos is 7 and change 3 would be around 6 ish and the 4 kilo would be 4.6 and change and the 5 kilos would be like 4.88

Answer from: Quest

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.