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Sagot :
Given the equation :
[tex]y=18.25x[/tex]Where : y is the number of gallons of water in the pool
and : x is the number of minutes the truck has been filling the pool.
1) the unit rate for this relationship is 1 gallon per 18.25 minutes ( false )
Because 18.25 represents the number of gallons per minute
2) this is a proportional relationship because the graph of the equation is a straight line through the origin ( True )
Because: when x = 0 , y = 0
3) the water in the swimming pool increases about 33 gallons every 10 minutes ( false )
Because after 10 minutes mean x = 10
so, when x = 10 , y = 18.25 * 10 = 182.5 gallons
4) a table of related x- and y- values for this relationship would show equivalent ratios (true)
Because : the ratios between the values will be y/x = 18.25 = constant
5) the point (12, 219) could be a point on this graph ( true )
Because : When x = 12 minutes , y = 18.25 * 12 = 219 gallons
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