Felicia needs to write a story problem that relates to the order in which the numbers -6 1/2 and −10 are represented on a number line. she writes the following:

"during a recent football game, our team lost yards on two consecutive downs. we lost 6 1/2 yards on the first down. during the second down, our quarterback was sacked for an additional 10-yard loss. on the number line, i represented this situation by first locating -6 1/2. i located the point by moving 6 1/2 units to the left of zero. then, i graphed the second point by moving 10 units to the left of 0."

determine if you agree or disagree with the representation. then, defend your stance by citing specific details in your writing.

The representation of the Felicia story problem is not correct.

Step-by-step explanation:

The problem is about representing the numbers -6 1/2 and -10 on a number line.

In Felicia story, the first number is well represented as the football team lost 6 1/2 yards on the first down of a game, which is a negative representation since is a lost: -6 1/2.

In the second representation, the team lost another 10 yards in the second down, that is   which is an incorrect representation for the purpose of the problem.

So, instead of losing an additional 10 yards, the football team must lost 3 1/2 yards in the second down, that means the team is now at -10 yards, since . Here you could graphic -10 moving 10 units to the left of 0.

3.4 pizzas

step-by-step explanation:

given is a scatter plot showing number of pizzas sold during weeks for different issues of coupon

y represents number of pizzas sold and x number of coupons issued

y is marked verticaly and x horizontally

the trend line is given as

y =3.4x+43

this says that even when no coupon is issued pizzas sold will be 43

and rate of change of pizza sold for 1 unit of coupon = slope = 3.4

i.e. when x increases by 1 unit y increases by 3.4 units

hence for each additional coupon issued 3.4 pizzas more will be sold

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1