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umka2103 [35]
3 years ago
14

☰ Question (part 1 of 2) This is a two-part question, make sure you answer both parts: Flo Tilla is pedal boating on Lake Azui.

She starts back toward the dock, which is 1000 yards away. She goes at a rate of 25 yards a minute toward the dock. How far is Flo from the dock after 5 minutes? Question (part 2 of 2) How long (in minutes)will it take for Flo make it back to the dock?
Mathematics
1 answer:
Naddik [55]3 years ago
6 0
For this, we use the given info plus a bit of multiplying and subtraction

part 1)

we know that she's 25 y/m
so 5 minutes simply means 25 × 5
25 \times 5 = 125 \: yards

now we simply subtract this from 1000 (the original distance)
1000 - 125 = 875 \: yards

part 2)

the total time taken is even easier to find
all we have to do is divide 1000 by 25
1000 \div 25 = 40 \: minutes
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<h3><u>Answer:</u></h3>

\boxed{\boxed{\pink{\bf \leadsto Hence \ option\ [d]\ \bigg(y =  \dfrac{5}{2}x + 5\bigg) \ is \ correct  }}}

<h3><u>Step-by-step explanation:</u></h3>

Here from the given graph we can see that the graph the graph intersects x axis at (2,0) and y axis at (5,0). On seeing options it's clear that we have to use Slope intercept form . Which is :-

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\red{\implies slope = \tan\theta} \\\\\implies slope =\dfrac{PERPENDICULAR}{BASE} \\\\\bf \implies slope =\dfrac{5}{2}

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\purple{\implies y = mx + c }\\\\\implies y = \dfrac{5}{2}x + 5 \\\\\underline{\boxed{\red{\tt \implies y = \dfrac{5}{2}x + 5 }}}

<h3><u>Hence</u><u> </u><u>option</u><u> </u><u>[</u><u> </u><u>d</u><u> </u><u>]</u><u> </u><u>is</u><u> </u><u>corre</u><u>ct</u><u> </u><u>.</u><u> </u></h3>
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