Question

Jackie has two jobs. She earns $14/h in Job A and $16/h in Job B. She would like to earn $560 in a week. Let a represent the number of hours she works in Job A, and let b represent the number of hours she works in Job B.

Which function relates the number of hours she works in Job B to the number of the hours she works in Job A?


A. b= -8/7a + 40
B.b= -7/8 + 35
C.b= 7/8a - 35
D.b= 8/7a - 40
please help will fan and medal

Answer 1

@iGreen can you help?

Answer 2

Okay, so we have the equation:

14a + 16b = 560

We have to solve for 'b', so first we subtract 14a to both sides:

16b = -14a + 560

Now divide 16 to both sides:

b = -14/16a + 560/16

Divide 560 / 16, what do you get?

Answer 3

35?

Answer 4

Yep, that gives us:

b = -14/16a + 35

Now can you simplify -14/16? Divide both the top and bottom by 2.

Answer 5

-7/8

Answer 6

Yep, so our final answer is:

b = -7/8a + 35

Answer 7

thank you :) and do you mind checking my answers for three other problems?

Answer 8

No, I don't. Go ahead and post them.

Answer 9

What is the slope-intercept form of the function that contains the point (6, 2) and has a slope of 3?
y = 3x +16

What is the slope-intercept form of the function that contains the points (5, 6) and (9, 14)?
y =2x + -4

What is the slope-intercept form of the function described by this table?

x 1 2 3 4
y 2 7 12 17


y = 5x + -3

Answer 10

All are correct except for the first..

Answer 11

We can plug the slope and the point into point-slope form.

\(y - y_1 = m(x - x_1)\)

Where \(y_1\) is the y-value of the point, \(x_1\) is the x-value of the point, and \(m\) is the slope.

\(y - 2 = 3(x - 6)\)

Distribute 3 into the parenthesis:

\(y - 2 = 3x - 18\)

Add 2 to both sides, what's -18 + 2?

Answer 12

-16

Answer 13

Yes, so our final answer is:

\(y = 3x - 16\)

or

\(y = 3x + -16\)

Answer 14

thank you