Question

David's company reimburses his expenses on food, lodging, and conveyance during business trips. The company pays $60 a day for food and lodging and $0.65 for each mile traveled. David drove 600 miles and was reimbursed $3390.

Part A: Create an equation that will determine the number of days x on the trip (3 points)

Part B: Solve this equation justifying each step with an algebraic property of equality. (6 points)

Part C: How many days did David spend on this trip? (1 points)

Answer 1

breaking up the information into parts we have:


The company pays $60 a day for food and lodging
=$60*x, x is days

and $0.65 for each mile traveled.
= $0.65*y, y is mile


David drove 600 miles,
600 miles =


and was reimbursed $3390.
$3390 =


now we combine what we have learned:
y stands for miles and david drove 600 miles, so,
600 = y

he was paid $3390 and that money comes from how many miles he drove, $0.65*y, and for how many days he was gone, $60*x. this all becomes
$3390 = 0.65*y + 60*x
remember y = 600, so
$3390 = 0.65*600 + 60*x <-PART A
solve for x <-PART B & C

Answer 2

Thank you for the quick response

Answer 3

ur welcome.
I hope it makes sense