SAT
Find one person's rate from a graph of shared hours.
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Maya and Omar will work together to make 48 sandwiches.
The line shows the possible combinations of time, in hours, that Maya and Omar can spend to finish this task.
The horizontal axis is Omar's time, in hours. The vertical axis is Maya's time, in hours.
The point is (0, 8).
Omar works 0 hours, and Maya works 8 hours.
Maya makes 48 sandwiches in 8 hours.
sandwiches per hour = sandwicheshours
4886
6 sandwiches per hour.
Which intercept
A point on the vertical axis means the person on the horizontal axis works 0 hours.
A point on the horizontal axis means the person on the vertical axis works 0 hours.
Divide the number of sandwiches by that person's hours.
Work these three in a session.
Priya and Luis will work together to assemble 24 birdhouses.
The line shows the possible combinations of time, in hours, that Priya and Luis can spend to finish this task.
The horizontal axis is Luis's time, in hours. The vertical axis is Priya's time, in hours.
According to the graph, on average, how many birdhouses will Priya assemble per hour?
The point is (0, 6).
Luis works 0 hours, and Priya works 6 hours.
Priya assembles 24 birdhouses in 6 hours.
birdhouses per hour = birdhouseshours
246
4
The intercept where the other person works 0 hours is the time this person works alone.
3 birdhouses per hour is Luis's rate.
6 is the number of hours Priya works alone.
8 is the number of hours Luis works alone.
Answer: B. 4
Noah and Elena will work together to fold 20 programs.
The line shows the possible combinations of time, in hours, that Noah and Elena can spend to finish this task.
The horizontal axis is Elena's time, in hours. The vertical axis is Noah's time, in hours.
According to the graph, on average, how many programs will Elena fold per hour?
The point is (4, 0).
Noah works 0 hours, and Elena works 4 hours.
Elena folds 20 programs in 4 hours.
programs per hour = programshours
204
5
The intercept where the other person works 0 hours is the time this person works alone.
2 programs per hour is Noah's rate.
4 is the number of hours Elena works alone.
10 is the number of hours Noah works alone.
Answer: D. 5
Aisha and Ben will work together to plant 18 seedlings.
The line shows the possible combinations of time, in hours, that Aisha and Ben can spend to finish this task.
The horizontal axis is Ben's time, in hours. The vertical axis is Aisha's time, in hours.
According to the graph, on average, how many seedlings will Ben plant per hour?
The point is (9, 0).
Aisha works 0 hours, and Ben works 9 hours.
Ben plants 18 seedlings in 9 hours.
seedlings per hour = seedlingshours
189
2
The intercept where the other person works 0 hours is the time this person works alone.
3 seedlings per hour is Aisha's rate.
9 is the number of hours Ben works alone.
6 is the number of hours Aisha works alone.
Answer: A. 2
Try these five on your own.
Camila and Jordan will work together to pack 30 care kits.
The line shows the possible combinations of time, in hours, that Camila and Jordan can spend to finish this task.
The horizontal axis is Jordan's time, in hours. The vertical axis is Camila's time, in hours.
According to the graph, on average, how many care kits will Camila pack per hour?
The point is (0, 6).
Jordan works 0 hours, and Camila works 6 hours.
Camila packs 30 care kits in 6 hours.
care kits per hour = care kitshours
306
5
The intercept where the other person works 0 hours is the time this person works alone.
3 care kits per hour is Jordan's rate.
6 is the number of hours Camila works alone.
10 is the number of hours Jordan works alone.
Answer: C. 5
Hana and Mateo will work together to paint 36 chairs.
The line shows the possible combinations of time, in hours, that Hana and Mateo can spend to finish this task.
The horizontal axis is Mateo's time, in hours. The vertical axis is Hana's time, in hours.
According to the graph, on average, how many chairs will Mateo paint per hour?
The point is (12, 0).
Hana works 0 hours, and Mateo works 12 hours.
Mateo paints 36 chairs in 12 hours.
chairs per hour = chairshours
3612
3
The intercept where the other person works 0 hours is the time this person works alone.
4 chairs per hour is Hana's rate.
12 is the number of hours Mateo works alone.
9 is the number of hours Hana works alone.
Answer: B. 3
Sofia and Leo will work together to stack 12 crates.
The line shows the possible combinations of time, in hours, that Sofia and Leo can spend to finish this task.
The horizontal axis is Leo's time, in hours. The vertical axis is Sofia's time, in hours.
According to the graph, on average, how many crates will Sofia stack per hour?
The point is (0, 6).
Leo works 0 hours, and Sofia works 6 hours.
Sofia stacks 12 crates in 6 hours.
crates per hour = crateshours
126
2
The intercept where the other person works 0 hours is the time this person works alone.
4 crates per hour is Leo's rate.
6 is the number of hours Sofia works alone.
3 is the number of hours Leo works alone.
Answer: D. 2
Nina and Caleb will work together to bake 40 muffins.
The line shows the possible combinations of time, in hours, that Nina and Caleb can spend to finish this task.
The horizontal axis is Caleb's time, in hours. The vertical axis is Nina's time, in hours.
According to the graph, on average, how many muffins will Nina bake per hour?
The point is (0, 10).
Caleb works 0 hours, and Nina works 10 hours.
Nina bakes 40 muffins in 10 hours.
muffins per hour = muffinshours
4010
4
The intercept where the other person works 0 hours is the time this person works alone.
5 muffins per hour is Caleb's rate.
10 is the number of hours Nina works alone.
8 is the number of hours Caleb works alone.
Answer: A. 4
Malik and Grace will work together to label 12 boxes.
The line shows the possible combinations of time, in hours, that Malik and Grace can spend to finish this task.
The horizontal axis is Grace's time, in hours. The vertical axis is Malik's time, in hours.
According to the graph, on average, how many boxes will Grace label per hour?
The point is (6, 0).
Malik works 0 hours, and Grace works 6 hours.
Grace labels 12 boxes in 6 hours.
boxes per hour = boxeshours
126
2
The intercept where the other person works 0 hours is the time this person works alone.
3 boxes per hour is Malik's rate.
6 is the number of hours Grace works alone.
4 is the number of hours Malik works alone.
Answer: C. 2
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