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You have \$20$20dollar sign, 20 to spend on taxi fare. The ride costs \$5$5dollar sign, 5 plus \$2.50$2.50dollar sign, 2, point, 50 per kilometer. Write an inequality to determine the distance in kilometers, ddd, you can ride for \$20$20dollar sign, 20.

Respuesta :

calculista

Answer:

The maximum distance you can ride is 6 km

Step-by-step explanation:

Let

d -----> the distance in kilometers

we know that

The inequality that represent this situation is

[tex]5+2.5d \leq 20[/tex]

Solve for d

Subtract 5 both sides

[tex]2.5d \leq 20-5[/tex]

[tex]2.5d \leq 15[/tex]

Divide by 2.5 both sides

[tex]d \leq 15/2.5[/tex]

[tex]d \leq 6\ km[/tex]

therefore

The maximum distance you can ride is 6 km

The maximum distance in kilometers you can ride is 6 km and this can be determined by forming the inequality (5 + 2.5d [tex]\leq[/tex] 20) using the given data.

Given:

  • You have $20 to spend on taxi fare.
  • The ride costs $5 plus $2.50 per kilometer.

The following steps can be used in order to determine the distance in kilometers you can ride for $20:

Step 1 - In order to determine the distance in kilometers, you can ride for $20, form the inequality by using the given data.

Step 2 - According to the given data, the inequality that represents the given situation is given by:

5 + 2.5d [tex]\leq[/tex] 20

where 'd' is the distance travel in kilometers.

Step 3 - Simplify the above inequality in order to determine the value of distance 'd'.

2.5d [tex]\leq[/tex] 20 - 5

2.5d [tex]\leq[/tex] 15

d [tex]\leq[/tex] 6 Km

So, the maximum distance in kilometers you can ride is 6 km.

For more information, refer to the link given below:

https://brainly.com/question/15137133

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