Wendy was traveling from Baltimore, MD to Cleveland, OH. For the first 2 3/4 hours of her trip, she drove an estimated 63 mph. For the second portion of her trip, which took her 3 1/2 hours, she drove at an estimated rate of 57 mph. Write an expression to model her distance and calculate how far she drove. You may use the distance formula d=r*t (distance = rate * time).

Respuesta :

Answer:  D = r*t + r*t   372 3/4 = (63 * 2 3/4) + (57 * 3 1/2)

  OR

D1 + D2 = Total  173 1/4 + 199 1/2 = 372 3/4

D1 = r1 *t1       63 * 2 3/4 = 173 1/4

D2 = r2 * t2      57 * 3 1/2 = 199 1/2

Step-by-step explanation:

The trip is in two segments, so calculate the distance driven in each portion, then add the two distances together to get the total.

Another way to write the expression would be  D = r*t + r*t  

The total distance that Wendy drove to Cleveland will be 372.75 miles.

For the first 2 3/4 hours of her trip, she drove an estimated 63 mph. Then, the distance traveled will be:

= 63 × 2 3/4

= 173.25 miles.

For the second portion of her trip, which took her 3 1/2 hours, she drove at an estimated rate of 57 mph, the distance will be:

= 57 × 3 1/2

= 199.5 miles

The total distance traveled will then be:

= 173.25 miles + 199.5 miles

= 372.75 miles.

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