Select all the correct answers.
Which tables have a lower unit rate than the rate represented in the equation?
y = 3/5 x
A. {(3,4) (6,8) (9,12)}
B. {(5,4) (10,8) (15,12)}
C. {(31,18) (62,36) (93,54)}
D. {(18,11) (36,22) (54,33)}
E. {(12,7) (24,14) (36,21)}

Respuesta :

Answer:

C, E

Step-by-step explanation:

The unit rate represented by the point (x, y) is y/x. To find which rates are lower than 3/5, we can find the difference ...

... 3/5 - y/x

If that difference is positive, then the rate represented by the table is lower.

That difference is ...

... (3x -5y)/(5x)

Since we're only interested in the sign, we only need to compute the numerator value.

A. 3·3 -5·4 = -11 . . . . . the table has a higher rate

B. 3·5 -5·4 = -5 . . . . . the table has a higher rate

C. 3·31 -5·18 = 3 . . . . the table has a lower rate

D. 3·18 -5·11 = -1 . . . . the table has a higher rate

E. 3·12 -5·7 = 1 . . . . . the table has a lower rate

Choices C and E are appropriate.

Answer:

C and E

Step-by-step explanation: