Question

1. mai built a model racecar to race for a school competition. ( m(t) ) gives the graph to determine the missing value in each function statement.

1. the function ( w(t) ) gives the weight of a puppy, in pounds, as a function of its age ( t ), in months. explain the meaning of each statement.

a. ( w(2)=5 )
b. ( w(6)>w(4) )
c. ( w(12)=w(15) )

Explanation:

Step1: Analyze \(m(t)\)

For \(m(\_)=10\), look for the point where \(y - value = 10\). The point \((6,10)\) gives \(m(6)=10\).
For \(m(10)\), find the \(y - value\) when \(t = 10\). The point \((10,12)\) gives \(m(10)=12\).
For \(m(15)\), find the \(y - value\) when \(t = 15\). The point \((15,12)\) gives \(m(15)=12\).
For \(m(22)\), find the \(y - value\) when \(t = 22\). The point \((22,22)\) gives \(m(22)=22\).
For \(m(\_)=46\), assume the last point (since the graph ends at a high \(y - value\)). If we consider the pattern (though the graph's last point's \(x - value\) is around \(24\) but if we assume the function's end - point for \(y = 46\) is \(t = 26\) (by counting grid units if each small grid is \(2\) units in \(x\) and \(4\) in \(y\))

Step2: Analyze \(w(t)\)

a. \(w(2)=5\): When the puppy is \(2\) months old, its weight is \(5\) pounds.
b. \(w(6)>w(4)\): The weight of the puppy at \(6\) months is greater than its weight at \(4\) months.
c. \(w(12)=w(15)\): The weight of the puppy at \(12\) months is equal to its weight at \(15\) months.

Answer:

\(m(6)=10\), \(m(10)=12\), \(m(15)=12\), \(m(22)=22\), \(m(26)=46\)
a. When the puppy is \(2\) months old, its weight is \(5\) pounds.
b. The weight of the puppy at \(6\) months is greater than its weight at \(4\) months.
c. The weight of the puppy at \(12\) months is equal to its weight at \(15\) months.