Question

read the instructions first ​

Answer 1

Step-by-step explanation:

Step :- 1

Let 'x' represents the number of weeks.

Let 'y' represents the total amount saved.

Step :- 2

Now the above situation can be represented mathematically as

$\bf \:y = 500 + 75x$

Now for different values of x, we get different values of y.

$\begin{gathered}\boxed{\begin{array}{c|c|c|c|c|c}\bf x&\sf 0&\sf 1&\sf 2 &\sf 3&\sf 4\\\frac{\qquad \quad \qquad}{}&\frac{\quad \qquad \qquad}{}&\frac{\qquad \quad\qquad}{}&\frac{\qquad \quad \qquad}{}&\frac{\quad \qquad \qquad}{}&\frac{\qquad \quad\qquad}{}\\\bf y&\sf 500&\sf 575&\sf 650&\sf 725&\sf 800\end{array}}\end{gathered}$

Step :- 3

$\bf \:y = 500 + 75x$

Put y = 2375, we get

$\bf\implies \:2375 = 500 + 75x$

Adding (-500) on both sides, we get

$\bf\implies \:2375 + ( - 500) = 500 + 75x + ( - 500)$

$\bf\implies \:1875 = 75x$

Divide by 75 on both sides, we get

$\bf\implies \:\dfrac{1875}{75} = 75x \times \dfrac{1}{75}$

$\bf\implies \:x = 25$

Step :- 4

$\bf \:y = 500 + 75x$

$\bf\implies \:2375 = 500 + 75 \times 25$

$\bf\implies \:2375 = 500 + 1875$

$\bf \:Hence, \: Reena \: needs \: to \: save \: for \: 25 \: weeks.$

Answer 2

Answer:

answer for the given problem is given