Karen earns $54.60 for working 6 hours. If the amount she earns varies directly with the number of hours she works, how many hours would she need to work to earn an
additional $260?

Given:

Karen earns $54.60 for working 6 hours.

Amount she earns varies directly with the  number of hours she works.

She need to work to earn an  additional $260.

To find:

Number of hours she need to work to earn an  additional $260.

Solution:

Let the amount of earnings be A and number of hours be t.

According to question,

    ...(i)

where, k is constant of proportionality.

Karen earns $54.60 for working 6 hours.

Divide both sides by 6.

Put k=9.1 in (i).

Substitute A=260 in the above equation.

Divide both sides by 9.1.

Therefore, she need to work extra about 29 hours to earn an  additional $260.

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

step-by-step explanation:

well if you round, things become much more simple. round 5.95 to 6, 4.25 to 4, and 1.05 to 1. now, add 6+4+1 and that would equal 11. so the items together would equal to about $11.