Question

After 22 games, JD Drew has 32 hits. After 36 games he has 60 hits. Write a linear equation in slope intercept form to describe the situation. How many hits with JD Drew have after 50 games

Answer 1

JD Drew will have 88 hits after 50 games

Explanation:

Linear Modeling

It consists of modeling real-life situations by a function whose graph is a straight line.

The equation of a line can be expressed as:

h=m.g+b

h=number of hits JD Drew has

g=number of games

m,b= constant values

The problem provides two conditions: after 22 games, JD Drew has 32 hits. This is the point (22,32). Also, it has been given after 36 games he has 60 hits. This is the point (36,60).

Substituting the ordered pairs given, we have:

32=m.22+b

60=m.36+b

Subtracting both equations:

60 - 32 = 14m

28 = 14m

Solving:

m = 2

Using the first equation:

32 = (2)*22+b

32 = 44 + b

Solving:

b = -12

The model is now complete:

h = 2g - 12

Finally, calculate the number of hits for g=50 games:

h = 2*50 - 12

h = 100 - 12 = 88

JD Drew will have 88 hits after 50 games