Biology Solve a multi-step problem EXAMPLE 3 Graph the equation. Describe what the slope and y -intercept represent in this situation. Use the graph to.

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Biology Solve a multi-step problem EXAMPLE 3 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. 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 ).

SOLUTION Solve a multi-step problem EXAMPLE 3 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.

Solve a multi-step problem EXAMPLE 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. STEP 3

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 Repeat the steps of the example for the new model.

STEP 2 SOLUTION STEP 1 Graph the equation. GUIDED PRACTICE for Example 3 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.

GUIDED PRACTICE for Example 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 108 inches. STEP 3