Question

Question 2/2 Kiran walked at a constant speed. He walked 1 mile in 15 minutes. Which of these equations repthe distance d (in miles) that Kiran walks in minutes?.A. d=t+ 14B. d = t - 14OC. d = 15tD. d = 1/15t

Answer 1

Statements B, C and E are correct.

Statements A and D are not correct.

Step-by-step explanation

To pick the correct statements, we will have to examine each of the statements given to pick the correct ones.

The Cost of peanuts is presented on the y-axis while the weight of the corresponding peanuts is on the x-axis.

First, we have to calculate the slope of the graph given to establish the cost of 1 pound of peanuts.

`Slope=m=\frac{Change\text{ in y}}{Change\text{ in x}}=(y_2-y_1)/(x_2-x_1)`

For this graph, it passes through (0, 0) and (7, 17.5)

`\text{Slope = }(17.5-0)/(7-0)=(17.5)/(7)=2.5`

Hence, we have established that the cost of 1 pound of peanuts is $2.5

So, taking the options one at a time

A.) 2.5 pounds of peanuts costs $1

We have already established that 1 pound of peanuts costs $2.5

1 pound = $2.5

2.5 pounds = 2.5 × $2.5 = $6.25

Hence, this statement isn't correct.

B.) 1 pound of peanuts costs $2.50

This is correct because we already established this from calculating the slope of the graph.

C.) 5 pounds of peanuts costs $12.50

1 pound = $2.5

5 pounds = 5 × $2.5 = $12.50

Hence, this statement is correct.

D.) 9 pounds of peanuts costs $19.50

1 pound = $2.5

9 pounds = 9 × $2.5 = $22.50

Hence, this statement isn't correct.

E.) The point (4, 10) is on the graph of the proportional relationship.

The point (4, 10) means 4 pounds of peanuts costs $10.

1 pound = $2.5

4 pounds = 4 × $2.5 = $10

Hence, this statement too is true.

Hope this Helps!!!