Ty's and Bea's Ages (years)
Ty's Age 1 2 3 4 5
Bea's Age 3 4 5 6 7
Let x represent Ty's age and y represent Bea's age. Choose the correct equation below.
a. y=x-2
b. y=2x
c. x+2
d. y=x+2
a. y=x-2
To find the equation that represents Ty's and Bea's ages, we can observe their ages in the given table.
Ty's Age: 1 2 3 4 5
Bea's Age: 3 4 5 6 7
By looking at the table, we can see that Ty's age is 2 years less than Bea's age at every point. Therefore, the correct equation would be:
Bea's age = Ty's age + 2
So, the correct equation would be:
d. y = x + 2
To find the correct equation, we need to see the relationship between Ty's age (represented by x) and Bea's age (represented by y).
Looking at the ages given in the table, we can see that Ty is 2 years younger than Bea. This means that if we take Bea's age and subtract 2, we should get Ty's age.
Applying this to the options given:
a. y=x-2: This equation states that Ty's age (x) minus 2 is equal to Bea's age (y). This is incorrect because we want Ty to be 2 years younger, not 2 years older.
b. y=2x: This equation states that Bea's age (y) is equal to 2 times Ty's age (x). This is incorrect because there is no indication that their ages have a linear relationship in which Bea is always twice as old as Ty.
c. x+2: This equation only represents Ty's age (x) increased by 2. It does not involve Bea's age (y), so it is incorrect.
d. y=x+2: This equation states that Bea's age (y) is equal to Ty's age (x) plus 2. This is correct because it represents the relationship where Bea is 2 years older than Ty.
Therefore, the correct equation is d. y=x+2.