Question

The table shows the number of minutes in different numbers of days.

Number of days 4 7 11
Number of minutes 5760 10,080 15,840
Which equation expresses the relationship between the number of days, d, and the number of minutes, m?

Responses

m=d1440
m equals frqaction d over 1440 end fraction

A.m = d + 1440
B.m, = , d, + 1440

C.m = 1440d


D.d = 1440m

Answer 1

C. m = 1440d

Explanation:

You want to know the equation that represents the relationship between days (d) and minutes (m) given the table of values (d, m) = (4, 5760), (7, 10080), or (11, 15840).

Proportional relationship

On the off chance you don't already know that the number of days must be multiplied by minutes per day to find the number of minutes (m = 1440d), you can always try the table values in the response choices to see what works:

A. 5760 = 4/1440 . . . . . . nope

B. 5760 = 4 + 1440 . . . . . nope

C. 5760 = 1440·4 . . . . . . . yep

D. 4 = 1440·5760 . . . . . . . nope

The equation that works is m = 1440d.

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Additional comment

Fractions work the same way with units that they do with numbers. Common factors in numerator and denominator cancel.

`(2)/(3)* 3=2\\\\\frac{\text{minutes}}{\text{day}}* \text{days}=\text{minutes}`