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 Elevation (ft), y
0 1103
1 1202
2 1301
3 1400

Represent the relationship using words. Choose the correct answer below.

A. Starting from a height of 1103 ft, you lose 99 ft each additional hour of climbing. B. Starting from a height of 99 ft, you gain 1103 ft each additional hour of climbing. OC. Starting from a height of 1103 ft, you gain 99 ft each additional hour of climbing. OD. Starting from a height of 99 ft, you lose 1103 ft each additional hour of climbing.

C. Starting from a height of 1103 ft, you gain 99 ft each additional hour of climbing.

Represent the relationship using an equation. y = ___ (Simplify your answer. Type an expression using x as the variable .)

Answer 1

The equation representing the relationship is y = 1103 + 99x, where x is the number of hours climbing and y is the elevation in feet.

Represent the relationship using a graph.

The relationship is a linear function because it can be represented by a straight line on a graph.