Portia is a designer working on creating plans for the city of Geocove's new waterpark. The graph shows her plan for a waterslide for young children. The equation that represents this line is y = -1/3x + 4. The x-axis represents the ground, and the y-axis represents one of the poles that will support the slide.Each unit on each axis represents 1 foot. Suppose that a rider coming down this slide has a horizontal change of 6 feet. What is the value of their vertical change? Explain.

Answers

Answer 1

Answer:

$y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{1}{3}}x+4\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\n \cline{1-1} \n y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \n\n \cline{1-1} \end{array} \n\n[-0.35em] ~\dotfill$

$slope=\cfrac{\stackrel{\textit{vertical change}}{Rise}}{\underset{\textit{horizontal change}}{Run}}\hspace{5em} slope=\cfrac{\stackrel{\textit{vertical change}}{1}}{\underset{\textit{horizontal change}}{3}} \n\n\n \stackrel{ \textit{when the Run = 6, what's the Rise?} }{\stackrel{slope}{\cfrac{1}{3}}=\cfrac{\stackrel{\textit{vertical change}}{v}}{\underset{\textit{horizontal change}}{6}}}\implies \cfrac{1}{3}=\cfrac{v}{6}\implies \cfrac{6}{3}=v\implies \boxed{2=v}$

in this case the slope is -1/3, the negative part simply means the slope is going down from left-to-right, as it'd be the case in a waterslide.

Answer 2

Answer:

Answer:

Vertical change is 2 feet.

Step-by-step explanation:

The equation of the line is $\sf y = -(1)/(3)x + 4.$

This equation can be rewritten as : $\sf y -4 = -(1)/(3)x$

If a rider coming down this slide has a horizontal change of 6 feet, then their x-coordinate will change by 6.

This means that their new x-coordinate will be 6.

We can now plug this value of x into the equation for y to find their new y-coordinate.

$\sf \sf y -4 = -(1)/(3)* 6$

$\sf y - 4 = -2$

Adding 4 on both sides

$\sf y -4+4 =-2+4$

$\sf y = 2$

Therefore, the value of their vertical change is 2 feet.

In other words, if a rider starts at the point (0, 4) on the graph, and they move 6 units to the right, they will end up at the point (6, 2).

The vertical change is 4 - 2 = 2 feet.

Related Questions

Here is a problem that can be solved by making a table. Kayla has $50. Nina has $80. In how many months will they both have the same amount of money if Kayla saves $50 per month and Nina saves $40?I'm thinking around 3 months.
Find the mean of 11,-7,-14,10,-5
The expression 12g gives the number of kilometers a car can travel using g liters of gasoline. How far can this car travel on 5 1/2 liters of gasoline?
The sale price of a bicycle is $120 this is 75% of the original price find the original price
Given x(y + 2) = 3x + y, express y in terms of x.

Round 6.95 to one decimal place

Answers

7, 5 makes the 9 go up to 10 but the 1 pushes up 6 to 7 and 0 goes after decimal making 7.0. sorry if that's confusing

it would be 7 because you underline the 9 and put an arrow to the 5 and 5 and up move up 1 4 and down stay the same so the 6 is to a 7 and the rest of the numbers are 0.

How much larger is one cubic foot than one cubic inch

Answers

it is 15 times larger

26 inches because one cubic foot is 27 inches so 27-1=26

Which pair of parenthesis can be removed without changing the value of the expression?

Answers

The pair of parenthesis that can be removed without changing the value of the expression is "parenthesis around 5 × 8"

Given expression:

(1 + 2) × (6 - 3) + (5 × 8) + (9 - 4)

Using BODMAS

B = bracket
O = of
D = division
M = Multiplication
A = Addition
S = Subtraction

(1 + 2) × (6 - 3) + (5 × 8) + (9 - 4)

= 3 × (3) + 40 + 5

= 9 + 40 + 5

= 54

Remove parenthesis around 5 × 8

(1 + 2) × (6 - 3) + 5 × 8 + (9 - 4)

By removing the parenthesis around 5 × 8, you still have to multiply before adding according to the rule of BODMAS

Therefore, the pair of parenthesis that can be removed without changing the value of the expression is "parenthesis around 5 × 8"

Learn more about BODMAS:

brainly.com/question/24491237

C is the correct answer as it's multiplication, meaning it would be done first anyway.

In parallelogram ABCD, ∠A and ∠B are adjacent. The measure of ∠B is twice the measure of ∠A. Which equation gives the exact measure of ∠A?A. m ∠A + m ∠B = 180°
B.m ∠A + 2 • m ∠A = 180°
C.m ∠A + m ∠B = 90
D.m ∠A + 2 • m ∠A = 90°

Answers

The right answer to this problem is B

Which is greater?11/6 or 3/4
1/2 or 8/31
3/4 or 3/5
5/7 or 4/9
Please help

Answers

$(11)/(6)=1(5)/(6) > (3)/(4)\n\n(1)/(2)=(8)/(16) > (8)/(31)\n\n(3)/(4) > (3)/(5)\n\n(5)/(7)=(45)/(63) > (4)/(9)=(28)/(63)$

11/6 is greater than 3/4

1/2 is greater than 8/31

3/4 is greater than 3/5

5/7 is greater than 4/9

Glad to help and hope this helps you!!! XP

If if takes 3 mins to sew 1in, how many mins will it take to sew 9ft?

Answers

In the given question, there are several information's of immense importance. based on these information's, the required answer can be easily deduced. It is already given that it takes 3 minutes to sew 1 inches. It is required to find the time required to sew 9 ft.Firstly we have to convert the 9 ft into inches.
1 ft = 12 inches
Then
9 ft = (12 * 9) inches
= 108 inches
To sew 1 inch the time required = 3 minutes
Time required to sew 108 inches = (3 * 108) minutes
= 324 minutes
So it will take 324 minutes to sew 9 ft

Multiply 9 times 3 = 27 <-- There's your answer!

Other Questions

Sarah found the mean of a set of numbers to be 205.09.how should she read this value out loud?

Which Choice below is not a ratio 12 cans of soda per 2$ growth of 1.5 inches per week 3IV drips per minute5 ounces of 2% milk

in this right rectangular each small cube measures 1 unit on each side what is the volume of the prism please help practice question for parcc test

A chess club with 60members is electing a new president. Charmaine received 51votes. What percentage of the club members voted for Charmaine?