Imani's grandmother's house is 5 miles west of her own house down Main Street. While at hergrandmother's, Imani decides to ride her bike farther west down Main Street at 10 miles perhour. Which equation best describes the distance, d, in miles, Imani is from home after t hours?Ad=5+10tB.d= 5 – 10tC.d= 5t +10Dd= 5t – 10

Question

30-10-2022
Mathematics

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Imani's grandmother's house is 5 miles west of her own house down Main Street. While at hergrandmother's, Imani decides to ride her bike farther west down Main Street at 10 miles perhour. Which equation best describes the distance, d, in miles, Imani is from home after t hours?Ad=5+10tB.d= 5 – 10tC.d= 5t +10Dd= 5t – 10

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CamieX239325 CamieX239325 · Answer 1 · 2022-10-30T18:24:44+01:00

Since the house is to the west and Imani will also ride to the west, the initial position (5 miles) and the speed (10 miles per hour) will have the same signal (positive).

Then, we can use the following equation to describe the distance d after t hours:

[tex]d=d_0+v\cdot t[/tex]

Where d0 is the initial position and v is the speed. Using d0 = 5 and v = 10, we have:

[tex]d=5+10t[/tex]

So the correct option is A.