Question

Please help ASAP!!! Will give Brain list:)

Answer 1

Answer:

a. Constant of proportionality, k = 1/45

b. hours/miles

c. t = d/45

Step-by-step explanation:

From the table given, we see that time (hours) increases as distance (miles) increases. We say that time, t varies directly as distance, d

And it is written mathematically as

t α d

t = kd..... (1)

to use the constant of proportionality, k to write a unit rate for the data in the table.

From equation (1), we make k subject of formula

k = t/d

t is in hours and d is in miles, so we can write that

k = hours/miles.

hours/miles is the unit rate for the data

when t = 2, d = 90.

We substitute these values for t = 2, d = 90 into the equation labelled (1)

t = kd

2 = k90

We divide both sides of the equation by the coefficient of k

2/90 = 90k/90

k = 1/45

k = 1/45 is the constant of proportionality.

We then substitute this value of k = 1/45 into equation (1)

t = kd

t = d/45

t = d/45 is the equation to represent the relationship between time t and distance d