Kaelyn has some yarn that she wants to use to make hats and scarves. each hat uses 0.2 kilograms of yarn and each scarf uses 0.1 kilograms of yarn. kaelyn wants to make 3 times as many scarves as hats and use 5 kilograms of yarn. let h be the number of hats kaelyn makes and s be the number of scarves she makes.

10 hats and 30 scarves

Step-by-step explanation:

Let h be the number of hats Kaelyn makes and s be the number of scarves she makes.

Kaelyn wants to make 3 times as many scarves as hats, so

s = 3h

Each hat uses 0.2 kilograms of yarn, then h hats use 0.2h kg of yarn.

Each scarf uses 0.1 kilograms of yarn, then s scarves use 0.1s kg of yarn.

Kaelyn wants to use 5 kilograms of yarn, thus

0.2h + 0.1s = 5

You get the system of two equations:

Substitute the first equation into the second

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is

answer: -0.5 would be the most likley outcome

step-by-step explanation: