Question

yolanda participated in a walkathon in which each kilometer walked rasied $10 for charity. Her goal was to raise more than $300 on saturday and sunday. She raise $50 on saturday. Which graph shows all the distances, jn kilometers, that yolanda could have walked on sunday to reach her goal

Answer 1

5 Sunday to reach her goal

Answer 2

Answer:

Refer the attached graph.

Step-by-step explanation:

Given : Yolanda participated in a walkabout in which each kilometer walked raised $10 for charity.

Her goal was to raise more than $300 on Saturday and Sunday. She raise $50 on Saturday.

To find : Which graph shows all the distances, in kilometers, that Yolanda could have walked on Sunday to reach her goal?

Solution :

Let she walked x km on Sunday,

Since, The money she earns per km = $ 10

Hence, the total money she earn on Sunday = 10 x

While, the money she earned on Saturday =  $ 50

Thus, the total money she earn on both Sunday and Saturday = 50 + 10x

According to the question,

50 + 10 x > 300

Which is the required inequality that shows the given situation.

For graphing the above inequality,

The related equation of the above inequality is 50 + 10 x = 300 ⇒ 10 x = 250 ⇒ x = 25

Which is the line, parallel to y-axis.

Since, at origin , 50 + 10 × 0 > 300 ( False )

Thus, the inequality will not contain the origin,

Also, > sign shows the doted line.

Refer the attached graph below.