Interpret Slope And Y Intercept (Word Problems) Quiz

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#1 of 7: Mild

Interpret slope and y intercept (word problems)

The Lewis Middle School band sets up seating for an outdoor summer concert. They set up a certain number of chairs for the special guests and then add additional rows as needed. The equation `y = 8x + 16` represents the total number of seats `(y)` based on the number of added rows `(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: 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>

#3 of 7: Medium

Interpret slope and y intercept (word problems)

An ice company delivers a truckload of ice blocks for an ice sculpture competition. The equation `y = 30,000 - 300x` represents the weight of the ice blocks, in pounds, remaining on the truck `(y)` based on the number of blocks unloaded `(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>

#4 of 7: Medium

Interpret slope and y intercept (word problems)

A fish swims toward the surface at constant rate. The equation `y = -30 + 2x` represents the elevation of the fish in feet `(y)` based on the number of minutes `(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 zoo received a shipment of frozen fish to feed to their penguins. The penguins are fed the same number of pounds of fish each day. The zookeeper used the equation `y = -17x + 150` to represent the number of pounds of fish remaining `(y)` in terms of the number of days `(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)

Jude buys a car and starts making regular payments. The equation `r = 7245 - 201.25m` represents the amount remaining on the loan `(r)` in terms of the number of months of payment `(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)

A shark swimming near the surface swims downward at constant rate. The equation `d = -7 - 1.5m` represents the elevation, in feet, of the shark `(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>

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Word problems of linear equations generally deal with changes over the course of a time. When changes over the course of a time are the focus, 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