or
As a young girl, Emilia enjoyed watching her father make things in his woodworking shop. Now that she's grown up, Emilia builds wooden furniture for a living. Her most popular product is a cedar porch swing.
There is a proportional relationship between the time (in days) Emilia spends making porch swings, x, and the number of swings she builds, y.
x (days) y (swings)
5 4
10 8
15 12
20 16
Write an equation for the relationship between x and y. Simplify any fractions.
To find the equation for the relationship between x and y, we first need to determine the rate at which Emilia builds porch swings. By examining the the data points given, we can see that for every 5 days, Emilia builds 4 swings. This means that Emilia is building swings at a rate of 4 swings every 5 days, or 4/5 swings per day.
So, the equation for the relationship between x and y is:
y = (4/5)x
This equation simplifies to:
y = 0.8x
Therefore, the equation for the proportional relationship between the time Emilia spends making porch swings (x) and the number of swings she builds (y) is y = 0.8x.
or
Donald is participating in a fun run to raise money for the West Side Children's Hospital. The run is held at Donald's high school track. The more laps Donald runs around the track, the more money he raises for the hospital.
There is a proportional relationship between the number of laps Donald runs, x, and the amount of money he raises for the hospital (in dollars), y.
x (laps) y (dollars)
1 $5
2 $10
3 $15
4 $20
Write an equation for the relationship between x and y. Simplify any fractions.
To find the equation for the relationship between x and y, we need to determine the rate at which Donald raises money for each lap he runs. By examining the data points given, we can see that for every lap Donald runs, he raises $5. This means that Donald is raising money at a rate of $5 per lap.
So, the equation for the relationship between x and y is:
y = 5x
Therefore, the equation for the proportional relationship between the number of laps Donald runs (x) and the amount of money he raises for the hospital (y) is y = 5x.