Lourdes plans to jog at least 1.5 miles. Lourdes averages 3.75 mph pace when she jogs write and solve an inequality to find x, the number of hours lourdes will have to jog

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Answer:

Step-by-step explanation:

At least means greater than or equal to, so that is the symbol we will use.  Now, we want the inequality to compare the distance she plans to jog and the amount of time jogged multiplied by the speed, since time times speed equals distance.

Writing this out we get 1.5 ≤ 3.75x

so 1.5 will always be less than or equal to the distance jogged.  let me know if there is something you don't understand.  But after this just solve for x.

An inequality compares two or more variables by using the <, >, ≤, or ≥ signs.

The number of hours Lourdes will have to jog is 0.4 hours

From the given parameters:

  • Lourdes plans to jog for at least a distance of 1.5 miles
  • If Lourdes can jog averagely at the speed of 3.75 mph

Then,

  • the inequality that can represent the information can be written as:

= 1.5 miles ≤ 3.75 (x) miles/hour

Solving the inequality;

= 1.5 ≤ 3.75 (x)

Making (x) the subject of the formula, we have:

[tex]\mathbf{x =\dfrac{1.5}{3.75}}[/tex]

x =  0.4 hours

Therefore, we can conclude that the number of  hours lourdes will have to jog is 0.4 hours

Learn more about inequality here:

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