Represent the relationship shown in the table using​ words, an​ equation, and a graph. Then determine whether the relationship is a linear function.

Question

Mountain Climbing
Number
of Hours
​Climbing, x
0,1,2,3
Elevation​ (ft), y
1123, 1215, 1307,1399

A. Starting from a height of 92 ft you gain 1123ft each additional hour of climbing.

B. Starting from a height of 92 ft you lose 1123ft each additional hour of climbing.

C. Starting from a height of 1123 ft you lose 92 ft each additional hour of climbing.

D. Starting from a height of 1123 ft you gain 92 ft each additional hour of climbing.

Answer 1

A. Equation: y = 1123x + 92
Graph:
{graph(200,200,-1,4,-200,2000,1123x+92)}
This relationship is a linear function because the equation is in the form y = mx + b, where m is the slope (1123) and b is the y-intercept (92).

Answer 2

Starting from a height of 1123 ft you gain 92 ft each additional hour of climbing.

Represent the relationship using an equation.
y= blank

Answer 3

y = 92x + 1123

Answer 4

Is the relationship a linear​ function?

Answer 5

No, the relationship is not a linear function because the equation is not in the form y = mx + b, where m is the slope and b is the y-intercept.