Henry records how many days he rides his bike and how far he rides each week. he rides the same distance each time . he rode 17 miles in 3 days, 24 miles in 4 days and 42 miles in 7 days write and solve an equation to find how far he rides his bike in 10 days.

64 miles cuz he would take the shorter way

60 miles

Step-by-step explanation:

a. Find the equation

Given:

Let y is the number of miles Henry can drive (dependent variable)

Let x is the number of days Henry can drive (independent variable)

The standard form of the equation is:

y = mx + b where m is the slope of the function

We know the slope is:

m = = = 6

=> y = 6x + b

To find b, we substitute 4 days : 24 miles into the above function:

24 = 6*4+ b

<=> b = 0

=> y =  6x

b.  How far he rides his bike in 10 days.

Let x =10, we have y = 6*10 = 60 miles

Hope it will find you well.

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true

its kinda hard to answer this when we dont have all the information that we need.