Jana is taking pledges for a bike-a-thon fundraiser. Ivan pledged $4.25,plus $1.25 for each mile that
Jana bikes. Vicky pledged $5.75,plus &0.75 for each mile that Jana bikes. (Part A)- write expression for the number of dollars Ivan pledged and the number of dollars Vicky pledged. Use M for the number of miles that Jana bikes. (Part B)- Add the two expressions from Part A to find the combined amount that Ivan and Vicky pledged in terms of M. (Part C)-Find an expression equivalent to the one from part Part B by factoring out the greatest common factor from the two terms.
Ivan: 4.25+1.25m
Vicky: 5.75+0.75m
I+V: 4.25+1.25m+5.75+.75m = 10.00+2.00m = 2(5+m)
DOOOOO PARTTTT C!!!!!!!
Where’s part D, E, and F ??
Part c is done it’s look at the first response it has all 3 parts
Part A:
To write the expressions for the number of dollars Ivan and Vicky pledged, we can use the given information. Let's first take a look at what each person pledged initially:
Ivan pledged $4.25.
Vicky pledged $5.75.
Now, let's consider the additional amount they pledged per mile:
Ivan pledged $1.25 per mile.
Vicky pledged $0.75 per mile.
To calculate the total amount each person pledged in terms of the number of miles (M) that Jana bikes, we can multiply the additional amount per mile by the number of miles (M) and then add it to the initial pledge.
For Ivan:
The expression for the number of dollars Ivan pledged would be: $4.25 + $1.25 × M.
For Vicky:
The expression for the number of dollars Vicky pledged would be: $5.75 + $0.75 × M.
Part B:
To find the combined amount that Ivan and Vicky pledged in terms of M, we can add the expressions from Part A:
Total amount pledged = Ivan's pledge + Vicky's pledge
Total amount pledged = ($4.25 + $1.25 × M) + ($5.75 + $0.75 × M)
Total amount pledged = $4.25 + $5.75 + $1.25 × M + $0.75 × M
Simplifying this expression gives us:
Total amount pledged = $10 + $2 × M
So, the combined amount that Ivan and Vicky pledged in terms of M is $10 + $2 × M.
Part C:
To find an expression equivalent to the one from Part B by factoring out the greatest common factor from the two terms, we can factor out the constant term, which is 2:
Total amount pledged = $2 × (5 + M)
So, an expression equivalent to the one from Part B by factoring out the greatest common factor is $2 × (5 + M).