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Seb bikes at a constant rate of $20$ kilometers per hour. $1$ . Write an equation that represents the distance, in kilometers, Seb travels $(b)$ based on how many hours he bikes $(t)$ at this rate. $2$ . How far will Seb travel if he bikes at this rate for $3$ hours? $\_$ kilometers

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Write linear functions: word problems

Full solution

Q. Seb bikes at a constant rate of

20

kilometers per hour.

1

. Write an equation that represents the distance, in kilometers, Seb travels

(b)

based on how many hours he bikes

(t)

at this rate.

2

. How far will Seb travel if he bikes at this rate for

3

hours?

\_

kilometers

Write Equation: Write an equation that represents the distance Seb travels based on the hours he bikes. $\newline$ To find the distance Seb travels, we use the formula for distance, which is the product of speed and time. $\newline$ Distance = Speed * Time $\newline$ Given that Seb bikes at a constant rate of $20$ kilometers per hour, we can represent his speed as $20$ km/h. Let's denote the distance by $b$ and the time by $t$ in hours. $\newline$ So the equation is: $\newline$ $b = 20t$
Calculate Distance: Calculate the distance Seb will travel if he bikes at this rate for $5$ hours. $\newline$ We will use the equation from Step $1$ to calculate the distance. $\newline$ Substitute $t = 5$ hours into the equation: $\newline$ $b = 20 \times 5$ $\newline$ $b = 100$ $\newline$ So, Seb will travel $100$ kilometers if he bikes for $5$ hours.

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