Select the correct answer.
During the summer, Jody earns $10 per hour babysitting and $15 per hour doing yardwork. This week she worked 34 hours and earned $410.
If x represents the number hours she babysat and y represents the number of hours she did yardwork, which system of equations models
this situation?
A.
X+ y = 34
10x+ 15y = 410
OB. X + y = 410
10x + 15y = 34
C.
X+ y = 34
15x+10y= 410
OD. x + y = 410
15x+10y = 34​

Respuesta :

Answer:

A

Step-by-step explanation:

x+y=34 (add the seperate hours together to get the total amount of hours)

10x+15y=410 (multiply the money made each hour by the hours worked and add them together to get the amount of money joy made)

The system which creates a mathematical representation of the given condition will be X+ y = 34 and 10x+ 15y = 410 so option (A) will be correct.

How to form an equation?

When trying to set up or construct a linear equation to fit a real-world application, identify the known quantities and use the unknown quantity as a variable.

In other words, an equation is a set of variables that are constrained through a situation or case.

x = number of hours babysitting.

y = number of hours yard work.

Given that

She worked a total of 34 hours

So x + y = 34 will be the correct formation.

Jody earns $10 per hour babysitting

So a total of 10x money Jody will earn through babysitting.

$15 per hour doing yardwork

So a total of 15x money Jody will earn through yard work.

Given that

A total of $410 Jody earned so

10x + 15y = 410 will be the correct formation.

For more about the equation

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