Juan always saves the same amount from his weekly allowance. The table shows how much he has saved at different times.

Which equation represents the situation?

Juan’s Savings:
- Weeks: 3, 6, 9, 12
- Amount saved: 19, 28, 37, 46

A. [tex]y - 3 = -3(x - 19)[/tex]
B. [tex]y - 28 = 3(x - 6)[/tex]
C. [tex]y + 9 = -3(x + 37)[/tex]
D. [tex]y + 46 = 3(x - 12)[/tex]

Juan always saves the **same **amount from his weekly allowance, then the **equation **which represents the **situation **is y -28 = 3(x - 6). Therefore, option B is correct.
What is an equation?
**Equations **are mathematical expressions that have two **algebra **on either side of an equal (=) sign. The expressions on the **left **and right are shown to be **equal **to one another , demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a **fundamental **simple equation . For an unknown quantity represented by an unknown variable, equations are then solved to determine its value . It is clear that a statement is not even an **equation **if there is no "equal to" sign in it.
A **solution **is obtained by entering 3 (weeks) for "x" and 19 (savings made) for "y," which results in the equation 0=0.
To know more about an equation :
https://brainly.com/question/10413253
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Answered by kuldeepjadhav | 2024-06-16

You're correct, it is B. If you plug in 3 (weeks) in for "x" and 19 (amount saved) for "y" you will get 0=0, which is a solution.

Answered by DMBZarate | 2024-06-24

Juan's savings can be represented by the equation in option B: y − 28 = 3 ( x − 6 ) which relates to his pattern of saving. He saves $9 each week consistently. Thus, option B accurately describes the situation.
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Answered by kuldeepjadhav | 2024-10-02