Maths-
General
Easy

Question

Lourdes plans to jog at least 1.5 miles . Write and solve an inequality to find X, the number of hours Lourdes will have to jog.

hintHint:

Distance = time × speed
We are asked to write and solve an inequality to find X, the number of hours Lourdes will have to jog if she jogs a distance of 1.5 miles with a speed of 3.75 miles per hour.

The correct answer is: 7/15≤x


    Step 1 of 2:
    We know that the equation to find the distance is:
    Distance = time × speed
    Here, distance is at least 1.75 miles and speed is 3.75 miles.
    Let x be the time.
    It is said that the distance is at least 1.75 miles, so it can be more than that. Hence, distance>1.75miles.
    Thus, the required inequality is:
    1.75 ≤ 3.75x
    Step 2 of 2:
    Solve the inequality, to get the time.
    table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell 1.75 less or equal than 3.75 x end cell row cell fraction numerator 1.75 over denominator 3.75 end fraction less or equal than x end cell row cell 7 over 15 less or equal than x end cell end table
    Thus, the value of time must be at least 7/15 hours.

    A distance is generally the amount of space or length that separates two people, objects, or situations. For example, four meters separate two streetlight poles, for instance, as a distance measure.
    Where Distance = time × speed
    Example: We kept a safe distance between two objects. At the same time, we notice a new space between object one and object 2. Although once close, there was a significant gap between the objects. However, wishes to distance themself from the object's former boss.

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