Question

1. Suzette ran and biked for a total of 44.75mi in 4h. Her average running speed was 6.5mph and her average biking speed was 14mph.(I’ve already solved this part but I included it because it will be required for the second question. Head to (2. Solve the inequality.)Let x = total hours Suzette ranLet y = total hours Suzette bikeda) Write the system of two equations you’ll need to solve this problem.b) Use substitution or linear combination to solve for x and y. How many hours did Suzette run?How many hours did she bike?c) Check your work by using substitution.2. Solve the inequality. You will need to show and explain every step. You may add more lines if you need them. (I’ve took a picture of the full problem, please look at the picture to see what this question was meaning)

Answer 1

Given:

Suzette ran and biked for a total of 44.75mi in 4h

The average running speed was 6.5 mph

The average biking speed was 14mph

Let x = total hours Suzette ran

Let y = total hours Suzette biked

So, x + y = 4

And time = distance divided by the speed

so,

`6.5x+14y=44.75`

a) Write the system of two equations you’ll need to solve this problem.

The system of equations will be: