Question

test prep

1. athar is buying hats for his baseball team. the shipping charge is $5, and each hat costs $8. there are ten people on his baseball team. the graph shows the total cost of the hats. select all true statements.

a the ordered pair for 1 hat bought is (1, 8).
b the domain is whole numbers of hats from 1 to 10.
c the range is numbers of dollars from 0 to 100 in increments of 5.
d the ordered pair for 5 hats bought is (5, 45).
e the cost of ordering 10 hats is double the cost of ordering 5 hats.

1. an engineer is launching a rocket and is measuring its speed when launched. the table shows the speed for the first five seconds. plot the data in the provided coordinate plane.

time (s)	0	1	2	3	4	5

spiral review

1. what is the unit rate for the proportional relationship represented in the graph?
2. if the slope of a proportional relationship is 3, what is the equation that represents that line?
3. gretchen is delivering boxes of cookies to her neighbors. her wagon itself weighs 12 pounds when empty and will hold up to 9 boxes. if each box of cookies weighs 1 pound, what is the range of the total weight of her wagon while she is delivering cookies?

Explanation:

Problem 7

Step1: Verify ordered pair (1,8)

Total cost for 1 hat: $\$5 + \$8(1) = \$13$. The point on the graph is (1,13), not (1,8). So A is false.

Step2: Check domain of hats

There are 10 team members, so hats bought are whole numbers 1 to 10. B is true.

Step3: Check range of total cost

Minimum cost (1 hat): $\$13$, maximum (10 hats): $\$5+\$8(10)=\$85$. Range is 13 to 85, not 0 to 100. C is false.

Step4: Verify ordered pair (5,45)

Total cost for 5 hats: $\$5 + \$8(5) = \$5 + \$40 = \$45$. The graph matches (5,45). D is true.

Step5: Compare 10 vs 5 hat costs

Cost for 10 hats: $\$85$, cost for 5 hats: $\$45$. $\$85
eq 2\times\$45=\$90$. E is false.

Step1: Identify data points

The table gives points: (0,0), (1,4), (2,8), (3,12), (4,16), (5,20).

Step2: Plot points on coordinate plane

Mark each (Time, Speed) pair on the grid with x-axis (Time 0-5) and y-axis (Speed 0-20), then connect the points.

Step1: Pick a point from the graph

Use the point (1,2): distance = 2 ft at time = 1 s.

Step2: Calculate unit rate

Unit rate = $\frac{\text{Distance}}{\text{Time}} = \frac{2}{1} = 2$ ft/s.

Answer:

B. The domain is whole numbers of hats from 1 to 10.
D. The ordered pair for 5 hats bought is (5, 45).

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Problem 8