Answer:
Let x be an hour and y be the cost of renting a canoe.
As per the statement:
To rent a canoe, the cost is $3 for the oars and life preserver, plus $5 an hour for the canoe.
"$5 an hour" translates to 5x
"$3 for the oars and life preserver plus $5 an hour for the canoe" translated to : 3 +5x
⇒y = 3+5x
or
⇒[tex]y = 5x+3[/tex] .....[1]
Graph:
x-intercept: The graph that crosses the x-axis:
Substitute the value of y =0 and solve for x:
0 = 5x+3
Subtract 3 from both sides we have;
-3 = 5x
Divide both sides by 5 we get;
-0.6 = x
x-intercept = (-0.6, 0)
y-intercept: The graph that crosses the y-axis:
Substitute the value of x=0 and solve for y:
y= 5(0)+3
⇒y = 3
y-intercept = (0, 3)
You can see the sketch of the model that represents the cost of renting a canoe i.e y = 5x +3
