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vagabundo [1.1K]
3 years ago
8

becky accepted a job as an inventory manager after being offered an $800 signing bonus. if she makes $23 an hour, which equation

model becky's total pay y in dollars as it relates to the number of hours × that she has worked?
Mathematics
2 answers:
jarptica [38.1K]3 years ago
6 0
Y = 23x + 800

x being the number of hours worked you would multiply that with 23 which is what she makes per hour and then add the $800 signing bonus
Dmitry_Shevchenko [17]3 years ago
3 0

Answer:

y = 23x + 800

Step-by-step explanation:

Becky accepted a job as an inventory manager with a offer of $800 signing bonus.

She makes $23 per hour, in addition to the bonus.

If her total pay is y and the works x hours.

then her total pay will be = per hour earning + bonus offered.

y = 23x + 800

equation y = 23x + 800 models Becky's total pay.

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Answer:

Part 1: The polygon ABCDE reflected across y-axis to get the polygon MNOPQ. So, the polygon ABCDE congruent to polygon MNOPQ.

Part 2: The vertices of polygon VWXYZ are V(1, 3), W(-1, 7), X(-7, 7), Y(-5, 3), and Z(-3, 1).

Step-by-step explanation:

Part 1:

The vertices of the polygon ABCDE are A(2, 8), B(4, 12), C(10, 12), D(8, 8), and E(6, 6).

The vertices of the polygon MNOPQ are M(-2, 8), N(-4, 12), O(-10, 12), P(-8, 8), and Q(-6, 6).

We need to find the transformation or sequence of transformations that can be performed on polygon ABCDE to show that it is congruent to polygon MNOPQ.

The relation between the vertices of ABCDE and MNOPQ are defined as

(x,y)\rightarrow (-x,y)

It means the polygon ABCDE reflected across y-axis to get the polygon MNOPQ. So, the polygon ABCDE congruent to polygon MNOPQ.

Part 2:

If polygon MNOPQ is translated 3 units right and 5 units down, then

(x,y)\rightarrow (x+3,y-5)

M(-2,8)\rightarrow V(-2+3,8-5)=V(1,3)

N(-4,12)\rightarrow W(-4+3,12-5)=W(-1,7)

O(-10,12)\rightarrow X(-10+3,12-5)=X(-7,7)

P(-8,8)\rightarrow Y(-8+3,8-5)=Y(-5,3)

Q(-6,6)\rightarrow Z(-6+3,6-5)=Z(-3,1)

Therefore the vertices of polygon VWXYZ are V(1, 3), W(-1, 7), X(-7, 7), Y(-5, 3), and Z(-3, 1).

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