Interpret Slope And Y Intercept (Word Problems) Problems

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#1 of 7: Mild

Interpret slope and y intercept (word problems)

Visitors to a summer carnival pay an entrance fee plus an additional amount for each game they play. The equation `y = 3x +15` represents the total cost `(y)` based on the number of games played `(x)`.<ul><li>Find the slope and the y-intercept.</li><li>What do the slope and y-intercept tell us about this scenario?</li></ul>

#2 of 7: Mild

Interpret slope and y intercept (word problems)

Yesterday, Thomas used a hose to start filling his family's backyard pool. He continued filling the pool today. He uses the equation `y = 9x + 200` to represent the number of gallons in the pool `(y)` based on the number of hours `(x)`.<ul><li>Find the slope and the y-intercept.</li><li>What do the slope and y-intercept tell us about this scenario?</li></ul>

#3 of 7: Medium

Interpret slope and y intercept (word problems)

Jake loaned money to a friend, and he started paying him back the same amount every week. He uses the equation `y = -48 + 5x` to determine how much money his friend owes `(y)` depending on the number of weeks (x) he have been paying him back.<ul><li>Find the slope and the y-intercept.</li><li>What do the slope and y-intercept tell us about this scenario?</li></ul>

#4 of 7: Medium

Interpret slope and y intercept (word problems)

Carmen plans a kayaking trip around an island. She knows the total distance and wants to know how long it will take for her to complete her trip. The equation `y = - 3x + 11` can be used to determine the number of miles remaining `(y)` in terms of the number of hours paddling `(x)`.<ul><li>Find the slope and the y-intercept.</li><li>What do the slope and y-intercept tell us about this scenario?</li></ul>

#5 of 7: Medium

Interpret slope and y intercept (word problems)

A pie maker has some cups of blueberries on hand and plans to purchase more cups of blueberries to make pies for all of his neighbors. The equation `y = 5x - 8` represents the number of cups of blueberries `(y)` the pie maker will need in terms of the number of pies made `(x)`.<ul><li>Find the slope and the y-intercept.</li><li>What do the slope and y-intercept tell us about this scenario?</li></ul>

#6 of 7: Spicy

Interpret slope and y intercept (word problems)

A submarine records its elevation and then tracks the elevation every minute as it descends. The equation `d = -75m - 130` represents the submarine's elevation in feet `(d)` in terms of the number of minutes `(m)`.<ul><li>Find the slope and the y-intercept.</li><li>What do the slope and y-intercept tell us about this scenario?</li></ul>

#7 of 7: Spicy

Interpret slope and y intercept (word problems)

Viola is learning to play the drums. During one practice session, she played along with a new song over and over in order to learn it. She wrote the equation `t = 60 - 3.5s` to represent the number of minutes left in her practice session `(t)` based on the number of times she plays along with the new song `(s)`.<ul><li>Find the slope and the y-intercept.</li><li>What do the slope and y-intercept tell us about this scenario?</li></ul>

Math problems or word problems of linear equations generally deal with changes in a graph. To know the changes in a graph, we take the help of slope-intercept form to find out our answers. The standard equation of the slope-intercept form is y = mx + b, where m is the slope of the standard equation. We can easily interpret slope and y intercept in word problems by following some simple steps.

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Grade 8

Linear Relationships And Functions

8.F.B.4