Question

Complete both parts & fill in the table. Carlos walks 4 miles every night for exercise. It takes him exactly 63 minutes to finish his walk. Assuming he walks at a constant rate, write an equation that represents how many miles, y, Carlos can walk in x minutes. b. Use your equation from part (a) to complete the table below. Use a calculator, and round all values to the hundredths place. * (minutes) Linear Equation: y (miles) 15 30 40 60 75

Answer 1

a) y = 0.0635x

b) The linear equation at all times is y = 0.0635x

x | y (in miles)

15 | 0.95

30 | 1.91

40 | 2.54

60 | 3.81

75 | 4.76

Step-by-step explanation

Carlos walks 4 miles in 63 minutes at a constant rate.

a) We are then told to write an expression that gives the number of miles, y, he has walked in x minutes.

To do that, we will first calculate the rate at which Carlos walks,

Rate = (Number of miles covered)/(Time Taken)

Rate = (4/63) = 0.0635 miles per minute

So,

y = 0.0635x

b) We are now asked to use the equation in (a) above to obtain the distance covered at different times.

x | y

15 | 0.95

30 | 1.91

40 | 2.54

60 | 3.81

75 | 4.76

We will now use this linear equation to complete the table.

y = 0.0635x

when x = 15

y = 0.0635x

y = 0.0635 (15) = 0.95 miles

when x = 30

y = 0.0635x

y = 0.0635 (30) = 1.91 miles

when x = 40

y = 0.0635x

y = 0.0635 (40) = 2.54 miles

when x = 60

y = 0.0635x

y = 0.0635 (60) = 3.81 miles

when x = 75

y = 0.0635x

y = 0.0635 (75) = 4.76 miles

Hope this Helps!!!