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Imani's grandmother's house is 5 miles west of her own house down Main Street. While at her grandmother's, Imani decides to ride her bike farther west down Main Street at 10 miles per hour. Which equation best describes the distance,
d, in miles, Imani is from home after
t hours?
Choose 1 answer:
(A)
d=5+10 t
(B)
d=5-10 t
(C)
d=5t+10
(D)
d=5t-10

Imani's grandmother's house is $5$ miles west of her own house down Main Street. While at her grandmother's, Imani decides to ride her bike farther west down Main Street at $10$ miles per hour. Which equation best describes the distance, $\newline$ $d$ , in miles, Imani is from home after $\newline$ $t$ hours? $\newline$ Choose $1$ answer: $\newline$ (A) $d=5+10t$ $\newline$ (B) $d=5-10t$ $\newline$ (C) $d=5t+10$ $\newline$ (D) $d=5t-10$

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Volume of cubes and rectangular prisms: word problems

Full solution

Q. Imani's grandmother's house is

5

miles west of her own house down Main Street. While at her grandmother's, Imani decides to ride her bike farther west down Main Street at

10

miles per hour. Which equation best describes the distance,

\newline

d

, in miles, Imani is from home after

\newline

t

hours?

\newline

Choose

1

answer:

\newline

(A)

d=5+10t

\newline

(B)

d=5-10t

\newline

(C)

d=5t+10

\newline

(D)

d=5t-10

Establish Starting Point: We need to establish the starting point for Imani's distance from home. Initially, she is at her grandmother's house, which is $5$ miles west of her own house. This means that before she starts biking, she is already $5$ miles away from home. Since she will be biking further west, the distance from home will increase as time passes.
Consider Travel Rate: Next, we need to consider the rate at which Imani is traveling and the direction of her travel. Imani is riding her bike at a speed of $10$ miles per hour westward. Since westward travel takes her further from home, we need to add the distance she travels to the initial $5$ miles.
Set Up Equation: Now, we can set up the equation. The distance Imani travels on her bike is the product of her speed ( $10$ miles per hour) and the time ( $t$ hours) she has been biking. This distance needs to be added to the initial $5$ miles to get the total distance from home, $d$ .
Total Distance Equation: The correct equation that represents the total distance from home, $d$ , after $t$ hours of biking is $d = 5 + 10t$ . This equation adds the distance Imani travels on her bike ( $10t$ ) to the initial distance from home ( $5$ miles).

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