Question

2. A high school's record for number of points scored in a football game is 63 points. This year's team wants to beat that record. Points came from touchdowns worth 7 points and field goals worth 3 points. Part A: Write and graph an inequality that represents the number of touchdowns, t, and the number of field goals, g, the team can score to beat the record. Part B: Give three possible numbers of points, including the number of touchdowns and the number of field goals, that the team could score to beat the record.

Answer 1

If t is the number of touchdowns and g is the number of field golas

The inequality is;

7t + 3g > 63

To graph the equation

put t = o

7(0) + 3g = 63

3g = 63

g = 21

(0, 21)

put g = 0

7t = 63

t =9

(9, 0)

partB

We can pick any point that falls on the shaded part, they are all the possible number of points

That is;

(10, 5)

t=10 and g=5

(15, 10)

t=15 and g=10

(10, 0)

t= 10 and g=0