Question

Priya starts with $50 in her bank account. She then deposits $20 each week for 12 weeks. / Mark the point on the graph that represents the amount after 3 weeks.

Answer 1

Answer:

$290

Step-by-step explanation:

Opening Balance $50

Adding $20 per week

after 12 weeks $240 added

total = 50+240 =$290

Answer 2

$\large\underline{\sf{Solution-}}$

Given that,

• Priya starts with $50 in her bank account.

• She then deposits $20 each week for 12 weeks.

Let assume that

• x represents the number of weeks

• y represents the amount after number of weeks.

As it is given that

• Priya starts with $50 in her bank account. She then deposits $20 each week for 12 weeks.

So, Let we frame this model as

$\rm :\longmapsto\:y = 50 + 20x$

Substituting 'x = 0' in the given equation, we get

$\rm :\longmapsto\:y = 50 + 20 \times 0$

$\rm :\longmapsto\:y = 50 + 0$

$\bf\implies \:y = 50$

Substituting 'x = 1' in the given equation, we get

$\rm :\longmapsto\:y = 50 + 20 \times 1$

$\rm :\longmapsto\:y = 50 + 20$

$\bf\implies \:y = 70$

Substituting 'x = 2' in the given equation, we get

$\rm :\longmapsto\:y = 50 + 20 \times 2$

$\rm :\longmapsto\:y = 50 + 40$

$\bf\implies \:y = 90$

Hᴇɴᴄᴇ,

➢ Pair of points of the given equation are shown in the below table.

$\begin{gathered}\boxed{\begin{array}{c|c} \bf x & \bf y \\ \frac{\qquad \qquad}{} & \frac{\qquad \qquad}{} \\ \sf 0 & \sf 20 \\ \\ \sf 1 & \sf 70 \\ \\ \sf 2 & \sf 90 \end{array}} \\ \end{gathered}$

➢ Now draw a graph using the points (0 , 20), (1 , 70) & (2 , 90)

➢ See the attachment graph.

So, from graph we concluded that, Priya had $ 110 in her account after 3 weeks