EXAMPLE 3 Solve a multi-step problem Biology

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EXAMPLE 3 Solve a multi-step problem Biology The body length y (in inches) of a walrus calf can be modeled by y = 5x + 42 where x is the calf’s age (in months). • Graph the equation. • Describe what the slope and y-intercept represent in this situation. • Use the graph to estimate the body length of a calf that is 10 months old.

EXAMPLE 3 Solve a multi-step problem SOLUTION STEP 1 Graph the equation. STEP 2 Interpret the slope and y-intercept. The slope, 5,represents the calf’s rate of growth in inches per month. The y-intercept, 42, represents a newborn calf’s body length in inches.

EXAMPLE 3 Solve a multi-step problem STEP 3 Estimate the body length of the calf at age 10 months by starting at 10 on the x-axis and moving up until you reach the graph. Then move left to the y-axis.At age 10 months, the body length of the calf is about 92 inches.

GUIDED PRACTICE for Example 3 WHAT IF? In Example 3, suppose that the body length of a fast-growing calf is modeled by y = 6x + 48. Repeat the steps of the example for the new model.

GUIDED PRACTICE for Example 3 SOLUTION STEP 1 Graph the equation. STEP 2 The y-intercept, 48, represents the length of the newborn calf’s body. The slope, 6, represents the calf’s growth rate in inches per month. STEP 3 At age 10 months, the body length of the calf is about 108 inches.