Math, asked by yogita1634, 5 hours ago

`Jessica walks her dog, Bella, each morning. To start, they stroll 3 blocks to warm up. Afterthat, they jog at a rate of 2 blocks per minute.Write an equation that shows how the total distance in blocks, y , depends on the number ofminutes they spend jogging, x .`​

Answers

Answered by lusor
7

Answer:

Jessica walks her dog, Bella, each morning. To start, they stroll 3 blocks to warm up. Afterthat, they jog at a rate of 2 blocks per minute.Write an equation that shows how the total distance in blocks, y , depends on the number ofminutes they spend jogging, x .`

Step-by-step explanation:

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Answered by SharadSangha
1

Given,

  • Jessica and her dog stroll 3 blocks to warm up.
  • Afterwards, they jog at the rate of 2 blocks per minute.

To find,

An equation that shows how the total distance in blocks, y, depends on the number of minutes they spend jogging, x

Solution,

Every time Jessica goes for a walk, she travels a 3 block distance independent of time. And for the rest of the journey, she has an average speed of 2 blocks per minute.

We can relate the total distance and total time with the rate of travel i.e. 2 blocks per minute, to get the desired relation.

Let the total distance travelled d blocks.

Out of this distance, 3 block distance which is the stroll distance, isn't included.

Therefore, distance jogged = d - 3 blocks

Similarly, time for jogging = t minutes.

Now, as the rate is 2 blocks per minute, we can relate them as,

                 2 = \frac{d - 3}{t}\\2t = d - 3

Therefore, the required relation is 2t = d - 3

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