Carlita will visit 14 cities in 14 days. She will have a
book signing and cooking
demonstration in each city,
then travel overnight to the
next city. The distance between
each city averages 240 miles.
The publisher will rent a solar
powered RV camper, with
a weekly rental fee plus a
per-mile charge. The rental
company hasn't prepared the
final estimate, but showed the
publisher two recent invoices
for one-week rentals. One was
$1.188.15 for a 540 mile trip. The
other was $1,310.55 for an 880
mile trip. Carlita will pick up the
camper in the first city on the
tour and leave it in the last.
The other tour costs are:
• Cooking demonstration
production: $3,450 each
• Book signing materials:
$1,475 total
How much should the
publisher budget for total tour
expenses?

$52091.95

Step-by-step explanation:

From the given information:

The number of  cities visited = 14

Cost of each cooking demonstration = $3450

The total cost of cooking demonstration = $3450 × 14

= $48300

Book signing material = $1475

∴

The total cost of cooking demonstration and book material is:

= $48300 + $1475 = $49775 (i)

Total meter traveled in visiting 14 cities = 240 * 13 = 3120 miles

However; suppose the weekly rental fee fine = $x  &

the change per mile = $y

Then

y*540 + x = 1188.15    --- (ii)

y*880 + x = 1310.55   --- (iii)

From equation (ii) and (iii)

y *340 = 122.4

y = 122.4/340

y = 0.36

From (ii)

y × 540 + x = 1188.15

(0.36)540 + x = 1188.15

x = 1188.15 - (0.36)540

x = 993.75

Hence, the total cost of travelling by RV camper = $1993.75 + 3120 × (0.36)

= $2116.95

Thus, the total amount the publisher should budget = $49975.0 + $2116.95

= $52091.95

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get